57242820 has 96 divisors (see below), whose sum is σ = 170352000. Its totient is φ = 14321664.

The previous prime is 57242819. The next prime is 57242821. The reversal of 57242820 is 2824275.

57242820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57242819) and next prime (57242821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (57242821) 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 31 ways as a sum of consecutive naturals, for example, 169692 + ... + 170028.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 2^57242820 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 57242820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176000).

57242820 is an abundant number, since it is smaller than the sum of its proper divisors (113109180).

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

57242820 is a wasteful number, since it uses less digits than its factorization.

57242820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 57242820 is about 7565.8984925784. The cubic root of 57242820 is about 385.3958261079.

The spelling of 57242820 in words is "fifty-seven million, two hundred forty-two thousand, eight hundred twenty".