51141888 has 216 divisors, whose sum is σ = 177092160. Its totient is φ = 14515200.

The previous prime is 51141859. The next prime is 51141889. The reversal of 51141888 is 88814115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51141889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338613 + ... + 338763.

Almost surely, 2^51141888 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 51141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88546080).

51141888 is an abundant number, since it is smaller than the sum of its proper divisors (125950272).

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

51141888 is a wasteful number, since it uses less digits than its factorization.

51141888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its digits is 10240, while the sum is 36.

The square root of 51141888 is about 7151.3556756744. The cubic root of 51141888 is about 371.1865680831.

The spelling of 51141888 in words is "fifty-one million, one hundred forty-one thousand, eight hundred eighty-eight".