56192256 has 108 divisors (see below), whose sum is σ = 167802180. Its totient is φ = 18084864.

The previous prime is 56192251. The next prime is 56192273. The reversal of 56192256 is 65229165.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56192256 is a `hidden beast` number, since 561 + 92 + 2 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9734400 + 46457856 = 3120^2 + 6816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56192256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56192251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1937650 + ... + 1937678.

Almost surely, 2^56192256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56192256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83901090).

56192256 is an abundant number, since it is smaller than the sum of its proper divisors (111609924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56192256 is an frugal number, since it uses more digits than its factorization.

56192256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 34 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 56192256 is about 7496.1494115312. The cubic root of 56192256 is about 383.0235608718.

56192256 divided by its sum of digits (36) gives a cube (1560896 = 116³).

It can be divided in two parts, 5619 and 2256, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 56192256 in words is "fifty-six million, one hundred ninety-two thousand, two hundred fifty-six".