5017824 has 144 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1347840.

The previous prime is 5017819. The next prime is 5017871. The reversal of 5017824 is 4287105.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38239 + ... + 38369.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 2^5017824 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 5017824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

5017824 is an abundant number, since it is smaller than the sum of its proper divisors (12279456).

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

5017824 is a wasteful number, since it uses less digits than its factorization.

5017824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5017824 is about 2240.0499994420. The cubic root of 5017824 is about 171.2005444417.

The spelling of 5017824 in words is "five million, seventeen thousand, eight hundred twenty-four".