52855200 has 144 divisors (see below), whose sum is σ = 191237760. Its totient is φ = 14088960.

The previous prime is 52855199. The next prime is 52855247. The reversal of 52855200 is 255825.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20377 + ... + 22823.

It is an arithmetic number, because the mean of its divisors is an integer number (1328040).

Almost surely, 2^52855200 is an apocalyptic number.

52855200 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 52855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95618880).

52855200 is an abundant number, since it is smaller than the sum of its proper divisors (138382560).

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

52855200 is a wasteful number, since it uses less digits than its factorization.

52855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 52855200 is about 7270.1581825982. The cubic root of 52855200 is about 375.2861815448.

The spelling of 52855200 in words is "fifty-two million, eight hundred fifty-five thousand, two hundred".