56189952 has 264 divisors, whose sum is σ = 202669376. Its totient is φ = 14598144.

The previous prime is 56189893. The next prime is 56189963. The reversal of 56189952 is 25998165.

56189952 is a `hidden beast` number, since 561 + 89 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56189898 and 56189907.

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, 838623 + ... + 838689.

Almost surely, 2^56189952 is an apocalyptic number.

56189952 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 56189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101334688).

56189952 is an abundant number, since it is smaller than the sum of its proper divisors (146479424).

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

56189952 is a wasteful number, since it uses less digits than its factorization.

56189952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 56189952 is about 7495.9957310553. The cubic root of 56189952 is about 383.0183258779.

The spelling of 56189952 in words is "fifty-six million, one hundred eighty-nine thousand, nine hundred fifty-two".