52032384 has 144 divisors (see below), whose sum is σ = 158006160. Its totient is φ = 16427520.

The previous prime is 52032377. The next prime is 52032413. The reversal of 52032384 is 48323025.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1107049 + ... + 1107095.

It is an arithmetic number, because the mean of its divisors is an integer number (1097265).

Almost surely, 2^52032384 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 52032384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79003080).

52032384 is an abundant number, since it is smaller than the sum of its proper divisors (105973776).

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

52032384 is a wasteful number, since it uses less digits than its factorization.

52032384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52032384 is about 7213.3476278355. The cubic root of 52032384 is about 373.3285827060.

The spelling of 52032384 in words is "fifty-two million, thirty-two thousand, three hundred eighty-four".