Search a number
-
+
256164111 = 3272580871
BaseRepresentation
bin11110100010011…
…00000100001111
3122212000111002200
433101030010033
51011034222421
641230252543
76230234100
oct1721140417
9585014080
10256164111
11121663985
1271957153
13410c02c8
14260423a7
1517750726
hexf44c10f

256164111 has 18 divisors (see below), whose sum is σ = 430426152. Its totient is φ = 146379240.

The previous prime is 256164089. The next prime is 256164113. The reversal of 256164111 is 111461652.

256164111 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 641 + 11 = 666.

It is not a de Polignac number, because 256164111 - 210 = 256163087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256164113) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 289995 + ... + 290876.

It is an arithmetic number, because the mean of its divisors is an integer number (23912564).

Almost surely, 2256164111 is an apocalyptic number.

256164111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

256164111 is a deficient number, since it is larger than the sum of its proper divisors (174262041).

256164111 is a wasteful number, since it uses less digits than its factorization.

256164111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580891 (or 580881 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 256164111 is about 16005.1276471011. The cubic root of 256164111 is about 635.0960740823.

It can be divided in two parts, 2561641 and 11, that added together give a palindrome (2561652).

The spelling of 256164111 in words is "two hundred fifty-six million, one hundred sixty-four thousand, one hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 441 580871 1742613 4066097 5227839 12198291 28462679 36594873 85388037 256164111