51188416 has 28 divisors (see below), whose sum is σ = 102595680. Its totient is φ = 25337600.

The previous prime is 51188383. The next prime is 51188419. The reversal of 51188416 is 61488115.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (51188419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2505 + ... + 10423.

Almost surely, 2^51188416 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 51188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51297840).

51188416 is an abundant number, since it is smaller than the sum of its proper divisors (51407264).

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

51188416 is a wasteful number, since it uses less digits than its factorization.

51188416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032 (or 8022 counting only the distinct ones).

The product of its digits is 7680, while the sum is 34.

The square root of 51188416 is about 7154.6080256014. The cubic root of 51188416 is about 371.2991003241.

The spelling of 51188416 in words is "fifty-one million, one hundred eighty-eight thousand, four hundred sixteen".