52638336 has 80 divisors (see below), whose sum is σ = 156681690. Its totient is φ = 17542656.

The previous prime is 52638319. The next prime is 52638337. The reversal of 52638336 is 63383625.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 21902400 = 5544^2 + 4680^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 52638336.

It is not an unprimeable number, because it can be changed into a prime (52638337) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7830 + ... + 12906.

Almost surely, 2^52638336 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 52638336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78340845).

52638336 is an abundant number, since it is smaller than the sum of its proper divisors (104043354).

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

52638336 is an equidigital number, since it uses as much as digits as its factorization.

52638336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5082 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 52638336 is about 7255.2281838685. The cubic root of 52638336 is about 374.7722136637.

The spelling of 52638336 in words is "fifty-two million, six hundred thirty-eight thousand, three hundred thirty-six".