43457 (number)
43,457 (fortythree thousand four hundred fiftyseven) is an odd fivedigits prime number following 43456 and preceding 43458. In scientific notation, it is written as 4.3457 × 10^{4}. The sum of its digits is 23. It has a total of 1 prime factor and 2 positive divisors. There are 43,456 positive integers (up to 43457) that are relatively prime to 43457.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 5
 Sum of Digits 23
 Digital Root 5
Name
Short name  43 thousand 457 

Full name  fortythree thousand four hundred fiftyseven 
Notation
Scientific notation  4.3457 × 10^{4} 

Engineering notation  43.457 × 10^{3} 
Prime Factorization of 43457
Prime Factorization 43457
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  43457  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  10.679527222436  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 43,457 is 43457. Since it has a total of 1 prime factor, 43,457 is a prime number.
Divisors of 43457
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  43458  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  21729  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  208.46342604879  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.999953978554  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 43,457 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 43,457) is 43,458, the average is 21,729.
Other Arithmetic Functions (n = 43457)
φ(n)  Euler Totient  43456  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  43456  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 4524  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  8  The number of ways n can be represented as the sum of 2 squares 
There are 43,456 positive integers (less than 43,457) that are coprime with 43,457. And there are approximately 4,524 prime numbers less than or equal to 43,457.
Divisibility of 43457
m  2  3  4  5  6  7  8  9 

n mod m  1  2  1  2  5  1  1  5 
43,457 is not divisible by any number less than or equal to 9.
Classification of 43457
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
By Powers
 Prime Power
 Square Free
Base conversion (43457)
Base  System  Value 

2  Binary  1010100111000001 
3  Ternary  2012121112 
4  Quaternary  22213001 
5  Quinary  2342312 
6  Senary  533105 
8  Octal  124701 
10  Decimal  43457 
12  Duodecimal  21195 
16  Hexadecimal  a9c1 
20  Vigesimal  58ch 
36  Base36  xj5 
Basic calculations (n = 43457)
Multiplication
n×yn×2  86914 

n×3  130371 
n×4  173828 
n×5  217285 
Division
n÷yn÷2  21728.500 

n÷3  14485.666 
n÷4  10864.250 
n÷5  8691.400 
Exponentiation
n^{y}n^{2}  1888510849 

n^{3}  82069015964993 
n^{4}  3566473226790700801 
n^{5}  154988227016643484709057 
Nth Root
^{y}√n^{2}√n  208.46342604879 

^{3}√n  35.157656124829 
^{4}√n  14.438262570295 
^{5}√n  8.4647073607141 
43457 as geometric shapes
Circle
Radius = nDiameter  86914 

Circumference  273048.3838941 
Area  5932931809.443 
Sphere
Radius = nVolume  3.4376989019062E+14 

Surface area  23731727237.772 
Circumference  273048.3838941 
Square
Length = nPerimeter  173828 

Area  1888510849 
Diagonal  61457.478780048 
Cube
Length = nSurface area  11331065094 

Volume  82069015964993 
Space diagonal  75269.731944521 
Equilateral Triangle
Length = nPerimeter  130371 

Area  817749185.27826 
Altitude  37634.86597226 
Triangular Pyramid
Length = nSurface area  3270996741.113 

Volume  9671926285692.3 
Height  35482.491917376 
Cryptographic Hash Functions
md5  b7be6030ef1677127676512c918087fb 

sha1  63e37257901f25dc2e5d38fb5366e951b9933372 
sha256  d1483678830b55f6206365c435393541d73e48152a65ef3e7781987a04a7c128 
sha512  01a86e748d638a1c876e6b76fafcdc0f8b16ef3eca9e85cb6f60f66fe195bace30cff8895e068bac20d4381b3dca224316880600f894591e5df93af045263e03 
ripemd160  962a09face4b1377fdf54a2fbbb1fb6119556d03 