5143824 has 135 divisors (see below), whose sum is σ = 17389047. Its totient is φ = 1469664.

The previous prime is 5143807. The next prime is 5143837. The reversal of 5143824 is 4283415.

The square root of 5143824 is 2268.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3840) is a multiple of the sum of its prime divisors (12).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 734829 + ... + 734835.

Almost surely, 2^5143824 is an apocalyptic number.

5143824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5143824 is the 2268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143824

5143824 is an abundant number, since it is smaller than the sum of its proper divisors (12245223).

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

5143824 is an frugal number, since it uses more digits than its factorization.

5143824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 12 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The cubic root of 5143824 is about 172.6216910698.

The spelling of 5143824 in words is "five million, one hundred forty-three thousand, eight hundred twenty-four".