52212800 has 42 divisors (see below), whose sum is σ = 128480058. Its totient is φ = 20884480.

The previous prime is 52212799. The next prime is 52212821. The reversal of 52212800 is 821225.

It can be written as a sum of positive squares in 3 ways, for example, as 6190144 + 46022656 = 2488^2 + 6784^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14717 + ... + 17916.

It is an arithmetic number, because the mean of its divisors is an integer number (3059049).

Almost surely, 2^52212800 is an apocalyptic number.

52212800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52212800 is an abundant number, since it is smaller than the sum of its proper divisors (76267258).

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

52212800 is a wasteful number, since it uses less digits than its factorization.

52212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32655 (or 32640 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 52212800 is about 7225.8425114308. The cubic root of 52212800 is about 373.7595755238.

The spelling of 52212800 in words is "fifty-two million, two hundred twelve thousand, eight hundred".