5189200 has 30 divisors (see below), whose sum is σ = 12468014. Its totient is φ = 2075520.

The previous prime is 5189167. The next prime is 5189201. The reversal of 5189200 is 29815.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 5125696 = 252^2 + 2264^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5189201) 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 5 ways as a sum of consecutive naturals, for example, 6087 + ... + 6886.

Almost surely, 2^5189200 is an apocalyptic number.

5189200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5189200 is an abundant number, since it is smaller than the sum of its proper divisors (7278814).

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

5189200 is a wasteful number, since it uses less digits than its factorization.

5189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 5189200 is about 2277.9815626998. The cubic root of 5189200 is about 173.1277971371.

It can be divided in two parts, 5 and 189200, that multiplied together give a triangular number (946000 = T₁₃₇₅).

The spelling of 5189200 in words is "five million, one hundred eighty-nine thousand, two hundred".