52152984 has 160 divisors (see below), whose sum is σ = 162217440. Its totient is φ = 15552000.

The previous prime is 52152973. The next prime is 52153019. The reversal of 52152984 is 48925125.

52152984 is a `hidden beast` number, since 52 + 1 + 529 + 84 = 666.

52152984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 345309 + ... + 345459.

It is an arithmetic number, because the mean of its divisors is an integer number (1013859).

Almost surely, 2^52152984 is an apocalyptic number.

52152984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52152984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81108720).

52152984 is an abundant number, since it is smaller than the sum of its proper divisors (110064456).

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

52152984 is a wasteful number, since it uses less digits than its factorization.

52152984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 210 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 52152984 is about 7221.7022923962. The cubic root of 52152984 is about 373.6167922365.

The spelling of 52152984 in words is "fifty-two million, one hundred fifty-two thousand, nine hundred eighty-four".