56188944 has 160 divisors (see below), whose sum is σ = 195344640. Its totient is φ = 15095808.

The previous prime is 56188919. The next prime is 56188949. The reversal of 56188944 is 44988165.

56188944 is a `hidden beast` number, since 561 + 8 + 89 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56188944.

It is not an unprimeable number, because it can be changed into a prime (56188949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50862 + ... + 51954.

It is an arithmetic number, because the mean of its divisors is an integer number (1220904).

Almost surely, 2^56188944 is an apocalyptic number.

56188944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56188944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97672320).

56188944 is an abundant number, since it is smaller than the sum of its proper divisors (139155696).

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

56188944 is a wasteful number, since it uses less digits than its factorization.

56188944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 56188944 is about 7495.9284948564. The cubic root of 56188944 is about 383.0160355231.

The spelling of 56188944 in words is "fifty-six million, one hundred eighty-eight thousand, nine hundred forty-four".