Search a number
-
+
256997967 = 3313774687
BaseRepresentation
bin11110101000101…
…11101001001111
3122220120211221020
433110113221033
51011242413332
641300205223
76240306132
oct1724275117
9586524836
10256997967
11122083416
1272099813
1341322a05
14261bc219
151786782c
hexf517a4f

256997967 has 16 divisors (see below), whose sum is σ = 363282432. Its totient is φ = 161321760.

The previous prime is 256997957. The next prime is 256997969. The reversal of 256997967 is 769799652.

It is not a de Polignac number, because 256997967 - 212 = 256993871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256997967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256997969) 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 15 ways as a sum of consecutive naturals, for example, 33903 + ... + 40784.

It is an arithmetic number, because the mean of its divisors is an integer number (22705152).

Almost surely, 2256997967 is an apocalyptic number.

256997967 is a deficient number, since it is larger than the sum of its proper divisors (106284465).

256997967 is a wasteful number, since it uses less digits than its factorization.

256997967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74758.

The product of its digits is 12859560, while the sum is 60.

The square root of 256997967 is about 16031.1561342281. The cubic root of 256997967 is about 635.7844415057.

The spelling of 256997967 in words is "two hundred fifty-six million, nine hundred ninety-seven thousand, nine hundred sixty-seven".

Divisors: 1 3 31 37 93 111 1147 3441 74687 224061 2315297 2763419 6945891 8290257 85665989 256997967