52679400 has 96 divisors (see below), whose sum is σ = 171938400. Its totient is φ = 13305600.

The previous prime is 52679371. The next prime is 52679411. The reversal of 52679400 is 497625.

52679400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 9090 + ... + 13710.

It is an arithmetic number, because the mean of its divisors is an integer number (1791025).

Almost surely, 2^52679400 is an apocalyptic number.

52679400 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 52679400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85969200).

52679400 is an abundant number, since it is smaller than the sum of its proper divisors (119259000).

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

52679400 is a wasteful number, since it uses less digits than its factorization.

52679400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 52679400 is about 7258.0575913945. The cubic root of 52679400 is about 374.8696435800.

The spelling of 52679400 in words is "fifty-two million, six hundred seventy-nine thousand, four hundred".