52639200 has 144 divisors (see below), whose sum is σ = 190456560. Its totient is φ = 14031360.

The previous prime is 52639189. The next prime is 52639211. The reversal of 52639200 is 293625.

52639200 is a `hidden beast` number, since 5 + 2 + 639 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52639189) and next prime (52639211).

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

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20382 + ... + 22818.

It is an arithmetic number, because the mean of its divisors is an integer number (1322615).

Almost surely, 2^52639200 is an apocalyptic number.

52639200 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 52639200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95228280).

52639200 is an abundant number, since it is smaller than the sum of its proper divisors (137817360).

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

52639200 is a wasteful number, since it uses less digits than its factorization.

52639200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2447 counting only the distinct ones).

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

The square root of 52639200 is about 7255.2877268927. The cubic root of 52639200 is about 374.7742641428.

The spelling of 52639200 in words is "fifty-two million, six hundred thirty-nine thousand, two hundred".