5004144 has 120 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1503360.

The previous prime is 5004143. The next prime is 5004149. The reversal of 5004144 is 4414005.

5004144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004143) 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 23 ways as a sum of consecutive naturals, for example, 84787 + ... + 84845.

It is an arithmetic number, because the mean of its divisors is an integer number (128960).

Almost surely, 2^5004144 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 5004144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

5004144 is an abundant number, since it is smaller than the sum of its proper divisors (10471056).

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

5004144 is a wasteful number, since it uses less digits than its factorization.

5004144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 5004144 is about 2236.9944121522. The cubic root of 5004144 is about 171.0448225581.

Adding to 5004144 its reverse (4414005), we get a palindrome (9418149).

The spelling of 5004144 in words is "five million, four thousand, one hundred forty-four".