55933264 has 80 divisors (see below), whose sum is σ = 123206400. Its totient is φ = 24440832.

The previous prime is 55933253. The next prime is 55933271. The reversal of 55933264 is 46233955.

55933264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408204 + ... + 408340.

It is an arithmetic number, because the mean of its divisors is an integer number (1540080).

Almost surely, 2^55933264 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 55933264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61603200).

55933264 is an abundant number, since it is smaller than the sum of its proper divisors (67273136).

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

55933264 is a wasteful number, since it uses less digits than its factorization.

55933264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 97200, while the sum is 37.

The square root of 55933264 is about 7478.8544577362. The cubic root of 55933264 is about 382.4341983152.

The spelling of 55933264 in words is "fifty-five million, nine hundred thirty-three thousand, two hundred sixty-four".