5093856 has 72 divisors (see below), whose sum is σ = 15135120. Its totient is φ = 1622016.

The previous prime is 5093839. The next prime is 5093857. The reversal of 5093856 is 6583905.

5093856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5093856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5093857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6240 + ... + 7008.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

Almost surely, 2^5093856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5093856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567560).

5093856 is an abundant number, since it is smaller than the sum of its proper divisors (10041264).

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

5093856 is a wasteful number, since it uses less digits than its factorization.

5093856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5093856 is about 2256.9572437244. The cubic root of 5093856 is about 172.0609122640.

The spelling of 5093856 in words is "five million, ninety-three thousand, eight hundred fifty-six".