56933136 has 120 divisors (see below), whose sum is σ = 181785240. Its totient is φ = 16478208.

The previous prime is 56933131. The next prime is 56933137. The reversal of 56933136 is 63133965.

It can be written as a sum of positive squares in 4 ways, for example, as 19184400 + 37748736 = 4380^2 + 6144^2 .

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 56933136.

It is not an unprimeable number, because it can be changed into a prime (56933131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30930 + ... + 32718.

It is an arithmetic number, because the mean of its divisors is an integer number (1514877).

Almost surely, 2^56933136 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 56933136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90892620).

56933136 is an abundant number, since it is smaller than the sum of its proper divisors (124852104).

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

56933136 is a wasteful number, since it uses less digits than its factorization.

56933136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1824 counting only the distinct ones).

The product of its digits is 43740, while the sum is 36.

The square root of 56933136 is about 7545.4049593113. The cubic root of 56933136 is about 384.6995711018.

The spelling of 56933136 in words is "fifty-six million, nine hundred thirty-three thousand, one hundred thirty-six".