57348252 has 72 divisors (see below), whose sum is σ = 157028144. Its totient is φ = 17542656.

The previous prime is 57348227. The next prime is 57348253. The reversal of 57348252 is 25284375.

57348252 is a `hidden beast` number, since 573 + 4 + 82 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57348253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132228 + ... + 132660.

Almost surely, 2^57348252 is an apocalyptic number.

57348252 is a gapful number since it is divisible by the number (52) 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 57348252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78514072).

57348252 is an abundant number, since it is smaller than the sum of its proper divisors (99679892).

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

57348252 is a wasteful number, since it uses less digits than its factorization.

57348252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 734 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 57348252 is about 7572.8628668424. The cubic root of 57348252 is about 385.6322932126.

It can be divided in two parts, 57348 and 252, that added together give a square (57600 = 240²).

The spelling of 57348252 in words is "fifty-seven million, three hundred forty-eight thousand, two hundred fifty-two".