51292416 has 216 divisors, whose sum is σ = 167771520. Its totient is φ = 13848576.

The previous prime is 51292403. The next prime is 51292427. The reversal of 51292416 is 61429215.

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, 1091305 + ... + 1091351.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 2^51292416 is an apocalyptic number.

51292416 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 51292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83885760).

51292416 is an abundant number, since it is smaller than the sum of its proper divisors (116479104).

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

51292416 is a wasteful number, since it uses less digits than its factorization.

51292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 51292416 is about 7161.8723808792. The cubic root of 51292416 is about 371.5503875447.

The spelling of 51292416 in words is "fifty-one million, two hundred ninety-two thousand, four hundred sixteen".