52879584 has 96 divisors (see below), whose sum is σ = 149143680. Its totient is φ = 16353792.

The previous prime is 52879579. The next prime is 52879601. The reversal of 52879584 is 48597825.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 96399 + ... + 96945.

It is an arithmetic number, because the mean of its divisors is an integer number (1553580).

Almost surely, 2^52879584 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 52879584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74571840).

52879584 is an abundant number, since it is smaller than the sum of its proper divisors (96264096).

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

52879584 is a wasteful number, since it uses less digits than its factorization.

52879584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 52879584 is about 7271.8349816260. The cubic root of 52879584 is about 375.3438836654.

The spelling of 52879584 in words is "fifty-two million, eight hundred seventy-nine thousand, five hundred eighty-four".