52198800 has 60 divisors (see below), whose sum is σ = 167214000. Its totient is φ = 13919360.

The previous prime is 52198793. The next prime is 52198807. The reversal of 52198800 is 889125.

It is a happy number.

52198800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52198793) and next prime (52198807).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (52198807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20550 + ... + 22949.

It is an arithmetic number, because the mean of its divisors is an integer number (2786900).

Almost surely, 2^52198800 is an apocalyptic number.

52198800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52198800 is an abundant number, since it is smaller than the sum of its proper divisors (115015200).

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

52198800 is a wasteful number, since it uses less digits than its factorization.

52198800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43520 (or 43509 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 52198800 is about 7224.8737013182. The cubic root of 52198800 is about 373.7261667185.

The spelling of 52198800 in words is "fifty-two million, one hundred ninety-eight thousand, eight hundred".