56129824 has 24 divisors (see below), whose sum is σ = 110840940. Its totient is φ = 27979776.

The previous prime is 56129803. The next prime is 56129833. The reversal of 56129824 is 42892165.

It can be written as a sum of positive squares in 2 ways, for example, as 53758224 + 2371600 = 7332^2 + 1540^2 .

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, 8812 + ... + 13780.

Almost surely, 2^56129824 is an apocalyptic number.

It is an amenable number.

56129824 is a deficient number, since it is larger than the sum of its proper divisors (54711116).

56129824 is a wasteful number, since it uses less digits than its factorization.

56129824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332 (or 5324 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 56129824 is about 7491.9839828980. The cubic root of 56129824 is about 382.8816564516.

It can be divided in two parts, 56129 and 824, that added together give a triangular number (56953 = T₃₃₇).

The spelling of 56129824 in words is "fifty-six million, one hundred twenty-nine thousand, eight hundred twenty-four".