52239600 has 240 divisors, whose sum is σ = 212803840. Its totient is φ = 11923200.

The previous prime is 52239571. The next prime is 52239613. The reversal of 52239600 is 693225.

52239600 is a `hidden beast` number, since 5 + 22 + 39 + 600 = 666.

52239600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 75255 + ... + 75945.

Almost surely, 2^52239600 is an apocalyptic number.

52239600 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 52239600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106401920).

52239600 is an abundant number, since it is smaller than the sum of its proper divisors (160564240).

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

52239600 is a wasteful number, since it uses less digits than its factorization.

52239600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 52239600 is about 7227.6967285574. The cubic root of 52239600 is about 373.8235128680.

The spelling of 52239600 in words is "fifty-two million, two hundred thirty-nine thousand, six hundred".