286252956 has 72 divisors (see below), whose sum is σ = 796474224. Its totient is φ = 85962240.

The previous prime is 286252949. The next prime is 286252957. The reversal of 286252956 is 659252682.

286252956 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286252957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41550 + ... + 47946.

It is an arithmetic number, because the mean of its divisors is an integer number (11062142).

Almost surely, 2^286252956 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 286252956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398237112).

286252956 is an abundant number, since it is smaller than the sum of its proper divisors (510221268).

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

286252956 is a wasteful number, since it uses less digits than its factorization.

286252956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6531 (or 6526 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 286252956 is about 16919.0116732627. The cubic root of 286252956 is about 659.0474136603.

The spelling of 286252956 in words is "two hundred eighty-six million, two hundred fifty-two thousand, nine hundred fifty-six".