56501824 has 28 divisors (see below), whose sum is σ = 113243868. Its totient is φ = 27968000.

The previous prime is 56501803. The next prime is 56501891. The reversal of 56501824 is 42810565.

It can be written as a sum of positive squares in 2 ways, for example, as 35046400 + 21455424 = 5920^2 + 4632^2 .

It is a super-2 number, since 2×56501824² = 6384912230653952, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 2094 + ... + 10834.

Almost surely, 2^56501824 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 56501824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56621934).

56501824 is an abundant number, since it is smaller than the sum of its proper divisors (56742044).

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

56501824 is a wasteful number, since it uses less digits than its factorization.

56501824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8844 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 56501824 is about 7516.7695188824. The cubic root of 56501824 is about 383.7256431470.

The spelling of 56501824 in words is "fifty-six million, five hundred one thousand, eight hundred twenty-four".