5042016 has 144 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1382400.

The previous prime is 5041999. The next prime is 5042029. The reversal of 5042016 is 6102405.

It is a happy number.

5042016 is digitally balanced in base 8, 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 (144).

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

5042016 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 5042016.

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, 82626 + ... + 82686.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 2^5042016 is an apocalyptic number.

5042016 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 5042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5042016 is an abundant number, since it is smaller than the sum of its proper divisors (12019392).

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

5042016 is a wasteful number, since it uses less digits than its factorization.

5042016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5042016 is about 2245.4433860599. The cubic root of 5042016 is about 171.4752349159.

It can be divided in two parts, 504 and 2016, that multiplied together give a square (1016064 = 1008²).

The spelling of 5042016 in words is "five million, forty-two thousand, sixteen".