53185792 has 108 divisors (see below), whose sum is σ = 124780068. Its totient is φ = 22528000.

The previous prime is 53185771. The next prime is 53185793. The reversal of 53185792 is 29758135.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 6071296 = 6864^2 + 2464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53185793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526542 + ... + 526642.

It is an arithmetic number, because the mean of its divisors is an integer number (1155371).

Almost surely, 2^53185792 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 53185792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62390034).

53185792 is an abundant number, since it is smaller than the sum of its proper divisors (71594276).

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

53185792 is a wasteful number, since it uses less digits than its factorization.

53185792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 75600, while the sum is 40.

The square root of 53185792 is about 7292.8589729954. The cubic root of 53185792 is about 376.0669867071.

The spelling of 53185792 in words is "fifty-three million, one hundred eighty-five thousand, seven hundred ninety-two".