56129076 has 36 divisors (see below), whose sum is σ = 142135812. Its totient is φ = 18676224.

The previous prime is 56129071. The next prime is 56129081. The reversal of 56129076 is 67092165.

56129076 is a `hidden beast` number, since 561 + 2 + 90 + 7 + 6 = 666.

56129076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56129071) and next prime (56129081).

It can be written as a sum of positive squares in 2 ways, for example, as 23912100 + 32216976 = 4890^2 + 5676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×56129076² = 6300946345227552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 56129076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56129071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26820 + ... + 28836.

It is an arithmetic number, because the mean of its divisors is an integer number (3948217).

It is a vampire number, since it can be written as 6051 ⋅ 9276 (with its own digits).

Almost surely, 2^56129076 is an apocalyptic number.

It is an amenable number.

56129076 is an abundant number, since it is smaller than the sum of its proper divisors (86006736).

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

56129076 is a wasteful number, since it uses less digits than its factorization.

56129076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56129076 is about 7491.9340627104. The cubic root of 56129076 is about 382.8799556520.

The spelling of 56129076 in words is "fifty-six million, one hundred twenty-nine thousand, seventy-six".