53882900 has 18 divisors (see below), whose sum is σ = 116926110. Its totient is φ = 21553120.

The previous prime is 53882839. The next prime is 53882903. The reversal of 53882900 is 928835.

It can be written as a sum of positive squares in 3 ways, for example, as 14167696 + 39715204 = 3764^2 + 6302^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53882903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269315 + ... + 269514.

It is an arithmetic number, because the mean of its divisors is an integer number (6495895).

Almost surely, 2^53882900 is an apocalyptic number.

53882900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53882900 is an abundant number, since it is smaller than the sum of its proper divisors (63043210).

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

53882900 is a wasteful number, since it uses less digits than its factorization.

53882900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538843 (or 538836 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 53882900 is about 7340.4972583606. The cubic root of 53882900 is about 377.7029010259.

It can be divided in two parts, 538 and 82900, that added together give a palindrome (83438).

The spelling of 53882900 in words is "fifty-three million, eight hundred eighty-two thousand, nine hundred".