52941600 has 360 divisors, whose sum is σ = 207955440. Its totient is φ = 13063680.

The previous prime is 52941569. The next prime is 52941667. The reversal of 52941600 is 614925.

52941600 is a `hidden beast` number, since 52 + 9 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 1231179 + ... + 1231221.

It is an arithmetic number, because the mean of its divisors is an integer number (577654).

Almost surely, 2^52941600 is an apocalyptic number.

52941600 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 52941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103977720).

52941600 is an abundant number, since it is smaller than the sum of its proper divisors (155013840).

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

52941600 is a wasteful number, since it uses less digits than its factorization.

52941600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 52941600 is about 7276.0978553068. The cubic root of 52941600 is about 375.4905579945.

The spelling of 52941600 in words is "fifty-two million, nine hundred forty-one thousand, six hundred".