56052000 has 240 divisors, whose sum is σ = 206918712. Its totient is φ = 14860800.

The previous prime is 56051993. The next prime is 56052011. The reversal of 56052000 is 25065.

It can be written as a sum of positive squares in 4 ways, for example, as 29550096 + 26501904 = 5436^2 + 5148^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 323914 + ... + 324086.

Almost surely, 2^56052000 is an apocalyptic number.

56052000 is a gapful number since it is divisible by the number (50) 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 56052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103459356).

56052000 is an abundant number, since it is smaller than the sum of its proper divisors (150866712).

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

56052000 is a wasteful number, since it uses less digits than its factorization.

56052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 56052000 is about 7486.7883635108. The cubic root of 56052000 is about 382.7046194691.

Adding to 56052000 its reverse (25065), we get a palindrome (56077065).

The spelling of 56052000 in words is "fifty-six million, fifty-two thousand", and thus it is an eban number.