5142816 has 72 divisors (see below), whose sum is σ = 16720704. Its totient is φ = 1468800.

The previous prime is 5142811. The next prime is 5142817. The reversal of 5142816 is 6182415.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5142816.

It is not an unprimeable number, because it can be changed into a prime (5142811) 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, 741 + ... + 3291.

It is an arithmetic number, because the mean of its divisors is an integer number (232232).

Almost surely, 2^5142816 is an apocalyptic number.

5142816 is a gapful number since it is divisible by the number (56) 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 5142816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360352).

5142816 is an abundant number, since it is smaller than the sum of its proper divisors (11577888).

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

5142816 is a wasteful number, since it uses less digits than its factorization.

5142816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2563 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 5142816 is about 2267.7777668899. Note that the first 4 decimals coincide. The cubic root of 5142816 is about 172.6104145025.

The spelling of 5142816 in words is "five million, one hundred forty-two thousand, eight hundred sixteen".