57946752 has 160 divisors (see below), whose sum is σ = 180686880. Its totient is φ = 18475776.

The previous prime is 57946747. The next prime is 57946769. The reversal of 57946752 is 25764975.

57946752 is a `hidden beast` number, since 579 + 4 + 6 + 75 + 2 = 666.

Its product of digits (529200) is a multiple of the sum of its prime divisors (28).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 57946698 and 57946707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519413 + ... + 2519435.

It is an arithmetic number, because the mean of its divisors is an integer number (1129293).

Almost surely, 2^57946752 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 57946752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90343440).

57946752 is an abundant number, since it is smaller than the sum of its proper divisors (122740128).

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

57946752 is an frugal number, since it uses more digits than its factorization.

57946752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 28 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 57946752 is about 7612.2764006570. The cubic root of 57946752 is about 386.9691700697.

The spelling of 57946752 in words is "fifty-seven million, nine hundred forty-six thousand, seven hundred fifty-two".