55292256 has 72 divisors (see below), whose sum is σ = 158722200. Its totient is φ = 18256896.

The previous prime is 55292243. The next prime is 55292267. The reversal of 55292256 is 65229255.

It is a tau number, because it is divible by the number of its divisors (72).

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 55292256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31695 + ... + 33393.

It is an arithmetic number, because the mean of its divisors is an integer number (2204475).

Almost surely, 2^55292256 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 55292256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79361100).

55292256 is an abundant number, since it is smaller than the sum of its proper divisors (103429944).

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

55292256 is a wasteful number, since it uses less digits than its factorization.

55292256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1817 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 55292256 is about 7435.8762765393. The cubic root of 55292256 is about 380.9676538559.

The spelling of 55292256 in words is "fifty-five million, two hundred ninety-two thousand, two hundred fifty-six".