51811344 has 90 divisors (see below), whose sum is σ = 157085370. Its totient is φ = 15934464.

The previous prime is 51811337. The next prime is 51811349. The reversal of 51811344 is 44311815.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 50979600 = 912^2 + 7140^2 .

It is not an unprimeable number, because it can be changed into a prime (51811349) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23272 + ... + 25400.

It is an arithmetic number, because the mean of its divisors is an integer number (1745393).

Almost surely, 2^51811344 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 51811344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78542685).

51811344 is an abundant number, since it is smaller than the sum of its proper divisors (105274026).

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

51811344 is a wasteful number, since it uses less digits than its factorization.

51811344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2147 counting only the distinct ones).

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

The square root of 51811344 is about 7198.0097249170. The cubic root of 51811344 is about 372.7991836880.

The spelling of 51811344 in words is "fifty-one million, eight hundred eleven thousand, three hundred forty-four".