52924032 has 96 divisors (see below), whose sum is σ = 174077280. Its totient is φ = 15118848.

The previous prime is 52924031. The next prime is 52924033. The reversal of 52924032 is 23042925.

It is an interprime number because it is at equal distance from previous prime (52924031) and next prime (52924033).

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

It is a junction number, because it is equal to n+sod(n) for n = 52923987 and 52924005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52924031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4783 + ... + 11345.

It is an arithmetic number, because the mean of its divisors is an integer number (1813305).

Almost surely, 2^52924032 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 52924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87038640).

52924032 is an abundant number, since it is smaller than the sum of its proper divisors (121153248).

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

52924032 is a wasteful number, since it uses less digits than its factorization.

52924032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6590 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52924032 is about 7274.8905146401. The cubic root of 52924032 is about 375.4490194695.

Adding to 52924032 its reverse (23042925), we get a palindrome (75966957).

The spelling of 52924032 in words is "fifty-two million, nine hundred twenty-four thousand, thirty-two".