51286144 has 192 divisors, whose sum is σ = 139187160. Its totient is φ = 18579456.

The previous prime is 51286141. The next prime is 51286171. The reversal of 51286144 is 44168215.

It can be written as a sum of positive squares in 4 ways, for example, as 49000000 + 2286144 = 7000^2 + 1512^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (51286141) 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, 1386094 + ... + 1386130.

Almost surely, 2^51286144 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 51286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69593580).

51286144 is an abundant number, since it is smaller than the sum of its proper divisors (87901016).

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

51286144 is a wasteful number, since it uses less digits than its factorization.

51286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its digits is 7680, while the sum is 31.

The square root of 51286144 is about 7161.4344931724. The cubic root of 51286144 is about 371.5352426221.

The spelling of 51286144 in words is "fifty-one million, two hundred eighty-six thousand, one hundred forty-four".