57534048 has 216 divisors, whose sum is σ = 195197184. Its totient is φ = 15966720.

The previous prime is 57534031. The next prime is 57534073. The reversal of 57534048 is 84043575.

57534048 is a `hidden beast` number, since 575 + 3 + 40 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 452961 + ... + 453087.

Almost surely, 2^57534048 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 57534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97598592).

57534048 is an abundant number, since it is smaller than the sum of its proper divisors (137663136).

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

57534048 is a wasteful number, since it uses less digits than its factorization.

57534048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 156 counting only the distinct ones).

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

The square root of 57534048 is about 7585.1201704390. The cubic root of 57534048 is about 386.0482995035.

It can be divided in two parts, 5753 and 4048, that added together give a square (9801 = 99²).

The spelling of 57534048 in words is "fifty-seven million, five hundred thirty-four thousand, forty-eight".