5093300 has 54 divisors (see below), whose sum is σ = 11635974. Its totient is φ = 1934400.

The previous prime is 5093279. The next prime is 5093303. The reversal of 5093300 is 33905.

It can be written as a sum of positive squares in 3 ways, for example, as 649636 + 4443664 = 806^2 + 2108^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96074 + ... + 96126.

It is an arithmetic number, because the mean of its divisors is an integer number (215481).

Almost surely, 2^5093300 is an apocalyptic number.

5093300 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 5093300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5817987).

5093300 is an abundant number, since it is smaller than the sum of its proper divisors (6542674).

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

5093300 is a wasteful number, since it uses less digits than its factorization.

5093300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 5093300 is about 2256.8340656770. The cubic root of 5093300 is about 172.0546518235.

The spelling of 5093300 in words is "five million, ninety-three thousand, three hundred".