56956032 has 144 divisors (see below), whose sum is σ = 190844550. Its totient is φ = 16257024.

The previous prime is 56956019. The next prime is 56956043. The reversal of 56956032 is 23065965.

56956032 is a `hidden beast` number, since 5 + 69 + 560 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 4769856 = 7224^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55944 + ... + 56952.

Almost surely, 2^56956032 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 56956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95422275).

56956032 is an abundant number, since it is smaller than the sum of its proper divisors (133888518).

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

56956032 is a wasteful number, since it uses less digits than its factorization.

56956032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56956032 is about 7546.9220215926. The cubic root of 56956032 is about 384.7511339321.

The spelling of 56956032 in words is "fifty-six million, nine hundred fifty-six thousand, thirty-two".