5083200 has 126 divisors (see below), whose sum is σ = 18118074. Its totient is φ = 1351680.

The previous prime is 5083157. The next prime is 5083213. The reversal of 5083200 is 23805.

It can be written as a sum of positive squares in 3 ways, for example, as 207936 + 4875264 = 456^2 + 2208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14224 + ... + 14576.

Almost surely, 2^5083200 is an apocalyptic number.

5083200 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 5083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059037).

5083200 is an abundant number, since it is smaller than the sum of its proper divisors (13034874).

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

5083200 is a wasteful number, since it uses less digits than its factorization.

5083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5083200 is about 2254.5953073667. The cubic root of 5083200 is about 171.9408485981.

The spelling of 5083200 in words is "five million, eighty-three thousand, two hundred".