52838304 has 48 divisors (see below), whose sum is σ = 139271328. Its totient is φ = 17540352.

The previous prime is 52838239. The next prime is 52838309. The reversal of 52838304 is 40383825.

52838304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (52838309) 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 7 ways as a sum of consecutive naturals, for example, 25599 + ... + 27585.

It is an arithmetic number, because the mean of its divisors is an integer number (2901486).

Almost surely, 2^52838304 is an apocalyptic number.

It is an amenable number.

52838304 is an abundant number, since it is smaller than the sum of its proper divisors (86433024).

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

52838304 is a wasteful number, since it uses less digits than its factorization.

52838304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 52838304 is about 7268.9960792396. The cubic root of 52838304 is about 375.2461885634.

The spelling of 52838304 in words is "fifty-two million, eight hundred thirty-eight thousand, three hundred four".