52189600 has 72 divisors (see below), whose sum is σ = 129015180. Its totient is φ = 20613120.

The previous prime is 52189567. The next prime is 52189603. The reversal of 52189600 is 698125.

It can be written as a sum of positive squares in 6 ways, for example, as 26666896 + 25522704 = 5164^2 + 5052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52189603) 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, 70834 + ... + 71566.

Almost surely, 2^52189600 is an apocalyptic number.

52189600 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 52189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64507590).

52189600 is an abundant number, since it is smaller than the sum of its proper divisors (76825580).

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

52189600 is a wasteful number, since it uses less digits than its factorization.

52189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 52189600 is about 7224.2369839312. The cubic root of 52189600 is about 373.7042091080.

The spelling of 52189600 in words is "fifty-two million, one hundred eighty-nine thousand, six hundred".