57000048 has 120 divisors (see below), whose sum is σ = 179071872. Its totient is φ = 15301632.

The previous prime is 57000037. The next prime is 57000059. The reversal of 57000048 is 84000075.

It is an interprime number because it is at equal distance from previous prime (57000037) and next prime (57000059).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 56999991 and 57000027.

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 23 ways as a sum of consecutive naturals, for example, 96811 + ... + 97397.

Almost surely, 2^57000048 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 57000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535936).

57000048 is an abundant number, since it is smaller than the sum of its proper divisors (122071824).

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

57000048 is a wasteful number, since it uses less digits than its factorization.

57000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 57000048 is about 7549.8376141477. The cubic root of 57000048 is about 384.8502211558.

The spelling of 57000048 in words is "fifty-seven million, forty-eight", and thus it is an aban number and an uban number.