55933056 has 96 divisors (see below), whose sum is σ = 168030720. Its totient is φ = 17825280.

The previous prime is 55933051. The next prime is 55933069. The reversal of 55933056 is 65033955.

It is a tau number, because it is divible by the number of its divisors (96).

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 55933056.

It is not an unprimeable number, because it can be changed into a prime (55933051) 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, 25441 + ... + 27551.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 2^55933056 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 55933056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015360).

55933056 is an abundant number, since it is smaller than the sum of its proper divisors (112097664).

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

55933056 is a wasteful number, since it uses less digits than its factorization.

55933056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 55933056 is about 7478.8405518503. The cubic root of 55933056 is about 382.4337242597.

It can be divided in two parts, 5593 and 3056, that added together give a square (8649 = 93²).

The spelling of 55933056 in words is "fifty-five million, nine hundred thirty-three thousand, fifty-six".