56258496 has 112 divisors (see below), whose sum is σ = 189057280. Its totient is φ = 16070400.

The previous prime is 56258467. The next prime is 56258509. The reversal of 56258496 is 69485265.

56258496 is a `hidden beast` number, since 5 + 62 + 584 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9771 + ... + 14421.

Almost surely, 2^56258496 is an apocalyptic number.

56258496 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 56258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94528640).

56258496 is an abundant number, since it is smaller than the sum of its proper divisors (132798784).

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

56258496 is a wasteful number, since it uses less digits than its factorization.

56258496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679 (or 4663 counting only the distinct ones).

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

The square root of 56258496 is about 7500.5663786144. The cubic root of 56258496 is about 383.1740057884.

The spelling of 56258496 in words is "fifty-six million, two hundred fifty-eight thousand, four hundred ninety-six".