52962900 has 72 divisors (see below), whose sum is σ = 156177504. Its totient is φ = 13852800.

The previous prime is 52962893. The next prime is 52962913. The reversal of 52962900 is 926925.

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, 14235 + ... + 17565.

It is an arithmetic number, because the mean of its divisors is an integer number (2169132).

Almost surely, 2^52962900 is an apocalyptic number.

52962900 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 52962900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78088752).

52962900 is an abundant number, since it is smaller than the sum of its proper divisors (103214604).

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

52962900 is a wasteful number, since it uses less digits than its factorization.

52962900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3401 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 52962900 is about 7277.5614047564. The cubic root of 52962900 is about 375.5409082957.

The spelling of 52962900 in words is "fifty-two million, nine hundred sixty-two thousand, nine hundred".