52736900 has 36 divisors (see below), whose sum is σ = 115062948. Its totient is φ = 20979840.

The previous prime is 52736881. The next prime is 52736903. The reversal of 52736900 is 963725.

It can be written as a sum of positive squares in 6 ways, for example, as 1098304 + 51638596 = 1048^2 + 7186^2 .

It is a super-2 number, since 2×52736900² = 5562361243220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52736903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18362 + ... + 21038.

It is an arithmetic number, because the mean of its divisors is an integer number (3196193).

Almost surely, 2^52736900 is an apocalyptic number.

52736900 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 52736900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57531474).

52736900 is an abundant number, since it is smaller than the sum of its proper divisors (62326048).

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

52736900 is a wasteful number, since it uses less digits than its factorization.

52736900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 52736900 is about 7262.0176259770. The cubic root of 52736900 is about 375.0059850897.

The spelling of 52736900 in words is "fifty-two million, seven hundred thirty-six thousand, nine hundred".