57582150 has 48 divisors (see below), whose sum is σ = 144228864. Its totient is φ = 15202080.

The previous prime is 57582149. The next prime is 57582167. The reversal of 57582150 is 5128575.

It is a happy number.

57582150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 13587 + ... + 17313.

It is an arithmetic number, because the mean of its divisors is an integer number (3004768).

Almost surely, 2^57582150 is an apocalyptic number.

57582150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57582150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72114432).

57582150 is an abundant number, since it is smaller than the sum of its proper divisors (86646714).

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

57582150 is a wasteful number, since it uses less digits than its factorization.

57582150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3845 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 57582150 is about 7588.2903212779. The cubic root of 57582150 is about 386.1558562356.

The spelling of 57582150 in words is "fifty-seven million, five hundred eighty-two thousand, one hundred fifty".