56948256 has 72 divisors (see below), whose sum is σ = 164062080. Its totient is φ = 18734976.

The previous prime is 56948251. The next prime is 56948321. The reversal of 56948256 is 65284965.

56948256 is a `hidden beast` number, since 569 + 4 + 82 + 5 + 6 = 666.

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

It is a super-2 number, since 2×56948256² = 6486207722883072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56948251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21501 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (2278640).

Almost surely, 2^56948256 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 56948256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82031040).

56948256 is an abundant number, since it is smaller than the sum of its proper divisors (107113824).

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

56948256 is a wasteful number, since it uses less digits than its factorization.

56948256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2587 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 56948256 is about 7546.4068270933. The cubic root of 56948256 is about 384.7336235774.

The spelling of 56948256 in words is "fifty-six million, nine hundred forty-eight thousand, two hundred fifty-six".