52000032 has 96 divisors (see below), whose sum is σ = 157151232. Its totient is φ = 14747904.

The previous prime is 52000031. The next prime is 52000043. The reversal of 52000032 is 23000025.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 51999981 and 52000017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52000031) 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 15 ways as a sum of consecutive naturals, for example, 149683 + ... + 150029.

It is an arithmetic number, because the mean of its divisors is an integer number (1636992).

Almost surely, 2^52000032 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 52000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78575616).

52000032 is an abundant number, since it is smaller than the sum of its proper divisors (105151200).

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

52000032 is a wasteful number, since it uses less digits than its factorization.

52000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 52000032 is about 7211.1047697284. The cubic root of 52000032 is about 373.2511922460.

Adding to 52000032 its reverse (23000025), we get a palindrome (75000057).

The spelling of 52000032 in words is "fifty-two million, thirty-two", and thus it is an aban number, an eban number, and an uban number.