52564200 has 192 divisors, whose sum is σ = 183738240. Its totient is φ = 12334080.

The previous prime is 52564199. The next prime is 52564207. The reversal of 52564200 is 246525.

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

It is not an unprimeable number, because it can be changed into a prime (52564207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179254 + ... + 179546.

It is an arithmetic number, because the mean of its divisors is an integer number (956970).

Almost surely, 2^52564200 is an apocalyptic number.

52564200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

52564200 is an abundant number, since it is smaller than the sum of its proper divisors (131174040).

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

52564200 is a wasteful number, since it uses less digits than its factorization.

52564200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 52564200 is about 7250.1172404314. The cubic root of 52564200 is about 374.5961875396.

The spelling of 52564200 in words is "fifty-two million, five hundred sixty-four thousand, two hundred".