5238264200 has 96 divisors (see below), whose sum is σ = 13568272200. Its totient is φ = 1867407360.

The previous prime is 5238264151. The next prime is 5238264217. The reversal of 5238264200 is 24628325.

It can be written as a sum of positive squares in 12 ways, for example, as 56280004 + 5181984196 = 7502^2 + 71986^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40664 + ... + 110136.

Almost surely, 2^5238264200 is an apocalyptic number.

5238264200 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 5238264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784136100).

5238264200 is an abundant number, since it is smaller than the sum of its proper divisors (8330008000).

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

5238264200 is a wasteful number, since it uses less digits than its factorization.

5238264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69531 (or 69522 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 5238264200 is about 72375.8537082638. The cubic root of 5238264200 is about 1736.7173101223.

The spelling of 5238264200 in words is "five billion, two hundred thirty-eight million, two hundred sixty-four thousand, two hundred".