52213920 has 288 divisors, whose sum is σ = 193052160. Its totient is φ = 11827200.

The previous prime is 52213901. The next prime is 52213927. The reversal of 52213920 is 2931225.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52213927) 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 47 ways as a sum of consecutive naturals, for example, 1684305 + ... + 1684335.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 2^52213920 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 52213920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96526080).

52213920 is an abundant number, since it is smaller than the sum of its proper divisors (140838240).

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

52213920 is a wasteful number, since it uses less digits than its factorization.

52213920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 52213920 is about 7225.9200106284. The cubic root of 52213920 is about 373.7622479702.

The spelling of 52213920 in words is "fifty-two million, two hundred thirteen thousand, nine hundred twenty".