57249000 has 96 divisors (see below), whose sum is σ = 193532040. Its totient is φ = 15264000.

The previous prime is 57248999. The next prime is 57249007. The reversal of 57249000 is 94275.

57249000 is a `hidden beast` number, since 572 + 4 + 90 + 0 + 0 = 666.

57249000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10381284 + 46867716 = 3222^2 + 6846^2 .

It is not an unprimeable number, because it can be changed into a prime (57249007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820 + ... + 12180.

Almost surely, 2^57249000 is an apocalyptic number.

57249000 is a gapful number since it is divisible by the number (50) 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 57249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96766020).

57249000 is an abundant number, since it is smaller than the sum of its proper divisors (136283040).

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

57249000 is a wasteful number, since it uses less digits than its factorization.

57249000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6388 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 57249000 is about 7566.3068930622. The cubic root of 57249000 is about 385.4096948662.

The spelling of 57249000 in words is "fifty-seven million, two hundred forty-nine thousand".