57554952 has 192 divisors, whose sum is σ = 189463680. Its totient is φ = 14183424.

The previous prime is 57554921. The next prime is 57554953. The reversal of 57554952 is 25945575.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (315000) is a multiple of the sum of its prime factors (140).

It is not an unprimeable number, because it can be changed into a prime (57554953) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 788388 + ... + 788460.

It is an arithmetic number, because the mean of its divisors is an integer number (986790).

Almost surely, 2^57554952 is an apocalyptic number.

57554952 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 57554952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94731840).

57554952 is an abundant number, since it is smaller than the sum of its proper divisors (131908728).

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

57554952 is a wasteful number, since it uses less digits than its factorization.

57554952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its digits is 315000, while the sum is 42.

The square root of 57554952 is about 7586.4980063268. The cubic root of 57554952 is about 386.0950484969.

The spelling of 57554952 in words is "fifty-seven million, five hundred fifty-four thousand, nine hundred fifty-two".