56117152 has 72 divisors (see below), whose sum is σ = 138454596. Its totient is φ = 22192128.

The previous prime is 56117147. The next prime is 56117183. The reversal of 56117152 is 25171165.

It can be written as a sum of positive squares in 2 ways, for example, as 55890576 + 226576 = 7476^2 + 476^2 .

It is a super-2 number, since 2×56117152² = 6298269497182208, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56117152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19008 + ... + 21760.

Almost surely, 2^56117152 is an apocalyptic number.

56117152 is a gapful number since it is divisible by the number (52) 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 56117152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69227298).

56117152 is an abundant number, since it is smaller than the sum of its proper divisors (82337444).

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

56117152 is a wasteful number, since it uses less digits than its factorization.

56117152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2775 counting only the distinct ones).

The product of its digits is 2100, while the sum is 28.

The square root of 56117152 is about 7491.1382312703. The cubic root of 56117152 is about 382.8528408644.

The spelling of 56117152 in words is "fifty-six million, one hundred seventeen thousand, one hundred fifty-two".