51956268 has 96 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 13688640.

The previous prime is 51956263. The next prime is 51956293. The reversal of 51956268 is 86265915.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (51956263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53023 + ... + 53993.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^51956268 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 51956268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

51956268 is an abundant number, since it is smaller than the sum of its proper divisors (100453332).

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

51956268 is a wasteful number, since it uses less digits than its factorization.

51956268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 996 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 51956268 is about 7208.0696445026. The cubic root of 51956268 is about 373.1464516060.

The spelling of 51956268 in words is "fifty-one million, nine hundred fifty-six thousand, two hundred sixty-eight".