52881984 has 105 divisors (see below), whose sum is σ = 158326201. Its totient is φ = 17452800.

The previous prime is 52881977. The next prime is 52882009. The reversal of 52881984 is 48918825.

It is a happy number.

The square root of 52881984 is 7272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 2073600 = 7128^2 + 1440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 523534 + ... + 523634.

Almost surely, 2^52881984 is an apocalyptic number.

52881984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

52881984 is the 7272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52881984

52881984 is an abundant number, since it is smaller than the sum of its proper divisors (105444217).

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

52881984 is an equidigital number, since it uses as much as digits as its factorization.

52881984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 106 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The cubic root of 52881984 is about 375.3495620491.

The spelling of 52881984 in words is "fifty-two million, eight hundred eighty-one thousand, nine hundred eighty-four".