57300048 has 200 divisors, whose sum is σ = 189050400. Its totient is φ = 16609536.

The previous prime is 57300041. The next prime is 57300071. The reversal of 57300048 is 84000375.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 57299994 and 57300030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57300041) 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 39 ways as a sum of consecutive naturals, for example, 320023 + ... + 320201.

It is an arithmetic number, because the mean of its divisors is an integer number (945252).

Almost surely, 2^57300048 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 57300048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94525200).

57300048 is an abundant number, since it is smaller than the sum of its proper divisors (131750352).

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

57300048 is a wasteful number, since it uses less digits than its factorization.

57300048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 57300048 is about 7569.6795176546. The cubic root of 57300048 is about 385.5242153482.

The spelling of 57300048 in words is "fifty-seven million, three hundred thousand, forty-eight".