5182416 has 120 divisors (see below), whose sum is σ = 16103880. Its totient is φ = 1548288.

The previous prime is 5182379. The next prime is 5182417. The reversal of 5182416 is 6142815.

It can be written as a sum of positive squares in 4 ways, for example, as 1587600 + 3594816 = 1260^2 + 1896^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5182416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5182417) 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, 70956 + ... + 71028.

It is an arithmetic number, because the mean of its divisors is an integer number (134199).

Almost surely, 2^5182416 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 5182416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051940).

5182416 is an abundant number, since it is smaller than the sum of its proper divisors (10921464).

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

5182416 is a wasteful number, since it uses less digits than its factorization.

5182416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

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

The square root of 5182416 is about 2276.4920382026. The cubic root of 5182416 is about 173.0523191464.

The spelling of 5182416 in words is "five million, one hundred eighty-two thousand, four hundred sixteen".