56004256 has 144 divisors (see below), whose sum is σ = 148925952. Its totient is φ = 20428800.

The previous prime is 56004217. The next prime is 56004281. The reversal of 56004256 is 65240065.

It is a super-2 number, since 2×56004256² = 6272953380227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293121 + ... + 293311.

It is an arithmetic number, because the mean of its divisors is an integer number (1034208).

Almost surely, 2^56004256 is an apocalyptic number.

56004256 is a gapful number since it is divisible by the number (56) 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 56004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74462976).

56004256 is an abundant number, since it is smaller than the sum of its proper divisors (92921696).

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

56004256 is a wasteful number, since it uses less digits than its factorization.

56004256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 56004256 is about 7483.5991341065. The cubic root of 56004256 is about 382.5959284936.

The spelling of 56004256 in words is "fifty-six million, four thousand, two hundred fifty-six".