56252 has 24 divisors (see below), whose sum is σ = 117600. Its totient is φ = 23520.

The previous prime is 56249. The next prime is 56263. The reversal of 56252 is 25265.

It is a happy number.

Its product of digits (600) is a multiple of the sum of its prime divisors (50).

56252 is a modest number, since divided by 252 gives 56 as remainder.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1352 + ... + 1392.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2⁵⁶²⁵² 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 56252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58800).

56252 is an abundant number, since it is smaller than the sum of its proper divisors (61348).

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

56252 is a wasteful number, since it uses less digits than its factorization.

56252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 50 counting only the distinct ones).

The product of its digits is 600, while the sum is 20.

The square root of 56252 is about 237.1750408454. The cubic root of 56252 is about 38.3159257236.

The spelling of 56252 in words is "fifty-six thousand, two hundred fifty-two".