57801952 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 24675840.

The previous prime is 57801917. The next prime is 57801983. The reversal of 57801952 is 25910875.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561133 + ... + 561235.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^57801952 is an apocalyptic number.

57801952 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 57801952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

57801952 is an abundant number, since it is smaller than the sum of its proper divisors (74286368).

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

57801952 is a wasteful number, since it uses less digits than its factorization.

57801952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 57801952 is about 7602.7594990240. The cubic root of 57801952 is about 386.6465757826.

The spelling of 57801952 in words is "fifty-seven million, eight hundred one thousand, nine hundred fifty-two".