56256 has 28 divisors (see below), whose sum is σ = 149352. Its totient is φ = 18688.

The previous prime is 56249. The next prime is 56263. The reversal of 56256 is 65265.

56256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56249) and next prime (56263).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46 + ... + 338.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

2⁵⁶²⁵⁶ 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 56256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74676).

56256 is an abundant number, since it is smaller than the sum of its proper divisors (93096).

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

56256 is a wasteful number, since it uses less digits than its factorization.

56256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 56256 is about 237.1834732860. The cubic root of 56256 is about 38.3168338991.

Adding to 56256 its sum of digits (24), we get a triangular number (56280 = T₃₃₅).

Subtracting 56256 from its reverse (65265), we obtain a palindrome (9009).

The spelling of 56256 in words is "fifty-six thousand, two hundred fifty-six".