52879800 has 96 divisors (see below), whose sum is σ = 169274880. Its totient is φ = 13641600.

The previous prime is 52879787. The next prime is 52879807. The reversal of 52879800 is 897825.

52879800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52879807) 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 23 ways as a sum of consecutive naturals, for example, 17179 + ... + 20021.

It is an arithmetic number, because the mean of its divisors is an integer number (1763280).

Almost surely, 2^52879800 is an apocalyptic number.

52879800 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 52879800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84637440).

52879800 is an abundant number, since it is smaller than the sum of its proper divisors (116395080).

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

52879800 is a wasteful number, since it uses less digits than its factorization.

52879800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 52879800 is about 7271.8498334330. The cubic root of 52879800 is about 375.3443947270.

The spelling of 52879800 in words is "fifty-two million, eight hundred seventy-nine thousand, eight hundred".