52305984 has 84 divisors (see below), whose sum is σ = 152156160. Its totient is φ = 17176320.

The previous prime is 52305983. The next prime is 52306027. The reversal of 52305984 is 48950325.

52305984 is a `hidden beast` number, since 523 + 0 + 59 + 84 = 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 (52305983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40257 + ... + 41535.

Almost surely, 2^52305984 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 52305984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

52305984 is an abundant number, since it is smaller than the sum of its proper divisors (99850176).

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

52305984 is a wasteful number, since it uses less digits than its factorization.

52305984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 52305984 is about 7232.2876049007. The cubic root of 52305984 is about 373.9817925116.

The spelling of 52305984 in words is "fifty-two million, three hundred five thousand, nine hundred eighty-four".