52936320 has 128 divisors (see below), whose sum is σ = 171360000. Its totient is φ = 13897728.

The previous prime is 52936277. The next prime is 52936333. The reversal of 52936320 is 2363925.

52936320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 151506 + ... + 151854.

It is an arithmetic number, because the mean of its divisors is an integer number (1338750).

Almost surely, 2^52936320 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 52936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85680000).

52936320 is an abundant number, since it is smaller than the sum of its proper divisors (118423680).

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

52936320 is a wasteful number, since it uses less digits than its factorization.

52936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 52936320 is about 7275.7350144161. The cubic root of 52936320 is about 375.4780747043.

The spelling of 52936320 in words is "fifty-two million, nine hundred thirty-six thousand, three hundred twenty".