52584200 has 48 divisors (see below), whose sum is σ = 122737680. Its totient is φ = 20951360.

The previous prime is 52584199. The next prime is 52584209. The reversal of 52584200 is 248525.

It is a self number, because there is not a number n which added to its sum of digits gives 52584200.

It is not an unprimeable number, because it can be changed into a prime (52584209) 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 11 ways as a sum of consecutive naturals, for example, 93119 + ... + 93681.

It is an arithmetic number, because the mean of its divisors is an integer number (2557035).

Almost surely, 2^52584200 is an apocalyptic number.

52584200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52584200 is an abundant number, since it is smaller than the sum of its proper divisors (70153480).

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

52584200 is a wasteful number, since it uses less digits than its factorization.

52584200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 52584200 is about 7251.4963972962. The cubic root of 52584200 is about 374.6436911876.

The spelling of 52584200 in words is "fifty-two million, five hundred eighty-four thousand, two hundred".