51782416 has 45 divisors (see below), whose sum is σ = 117164469. Its totient is φ = 22106112.

The previous prime is 51782413. The next prime is 51782443. The reversal of 51782416 is 61428715.

The square root of 51782416 is 7196.

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

It can be written as a sum of positive squares in only one way, i.e., 50979600 + 802816 = 7140^2 + 896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51782411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 201360 + ... + 201616.

Almost surely, 2^51782416 is an apocalyptic number.

51782416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

51782416 is the 7196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51782416

51782416 is an abundant number, since it is smaller than the sum of its proper divisors (65382053).

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

51782416 is an equidigital number, since it uses as much as digits as its factorization.

51782416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 266 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The cubic root of 51782416 is about 372.7297887019.

The spelling of 51782416 in words is "fifty-one million, seven hundred eighty-two thousand, four hundred sixteen".