52303200 has 288 divisors, whose sum is σ = 189987840. Its totient is φ = 12441600.

The previous prime is 52303189. The next prime is 52303213. The reversal of 52303200 is 230325.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52303200.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1413582 + ... + 1413618.

It is an arithmetic number, because the mean of its divisors is an integer number (659680).

Almost surely, 2^52303200 is an apocalyptic number.

52303200 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 52303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

52303200 is an abundant number, since it is smaller than the sum of its proper divisors (137684640).

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

52303200 is a wasteful number, since it uses less digits than its factorization.

52303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 52303200 is about 7232.0951321177. The cubic root of 52303200 is about 373.9751573002.

Adding to 52303200 its reverse (230325), we get a palindrome (52533525).

The spelling of 52303200 in words is "fifty-two million, three hundred three thousand, two hundred".