56704

56704 is a natural number that follows 56703 and precedes 56705. It is an even composite integer with prime factorization 2^7 × 443, equivalently 128 × 443.

Arithmetic properties include 16 positive divisors and a sum of all divisors equal to 113,220. The sum of proper divisors is 56,516, which makes 56704 a deficient number (deficiency 188). Euler’s totient function yields φ(56704) = 28,288. The number is not a perfect square or cube.

In positional notations, 56704 is represented in binary as 1101110110000000, in hexadecimal as 0xDD80, and in octal as 0156600. It is divisible by powers of two up to 2^7 but has no other small prime factors beyond 443.

Numbers of this magnitude commonly appear as identifiers in catalogues, product codes, and administrative numbering systems; they may also serve as labels in scientific databases or transitively as catalogue numbers for astronomical objects. As a purely mathematical object, 56704 is of interest for basic divisor and multiplicative-function computations and for illustrating properties of numbers that combine a high power of two with a comparatively large odd prime factor.