52641792 has 240 divisors, whose sum is σ = 188737920. Its totient is φ = 14155776.

The previous prime is 52641791. The next prime is 52641821. The reversal of 52641792 is 29714625.

52641792 is a `hidden beast` number, since 5 + 2 + 641 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52641791) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3096568 + ... + 3096584.

It is an arithmetic number, because the mean of its divisors is an integer number (786408).

Almost surely, 2^52641792 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 52641792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94368960).

52641792 is an abundant number, since it is smaller than the sum of its proper divisors (136096128).

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

52641792 is an equidigital number, since it uses as much as digits as its factorization.

52641792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 52641792 is about 7255.4663530334. The cubic root of 52641792 is about 374.7804154454.

It can be divided in two parts, 5264 and 1792, that added together give a square (7056 = 84²).

The spelling of 52641792 in words is "fifty-two million, six hundred forty-one thousand, seven hundred ninety-two".