51756144 has 80 divisors (see below), whose sum is σ = 147740544. Its totient is φ = 15481600.

The previous prime is 51756113. The next prime is 51756163. The reversal of 51756144 is 44165715.

51756144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43234 + ... + 44414.

Almost surely, 2^51756144 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 51756144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73870272).

51756144 is an abundant number, since it is smaller than the sum of its proper divisors (95984400).

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

51756144 is a wasteful number, since it uses less digits than its factorization.

51756144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 51756144 is about 7194.1743098149. The cubic root of 51756144 is about 372.6667427602. Note that the first 3 decimals are identical.

The spelling of 51756144 in words is "fifty-one million, seven hundred fifty-six thousand, one hundred forty-four".