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256505151 = 3729717989
BaseRepresentation
bin11110100100111…
…11010100111111
3122212122210220210
433102133110333
51011131131101
641241443503
76233154300
oct1722372477
9585583823
10256505151
11121877131
1271aa0593
13411ac5c6
14260d07a7
15177bb7d6
hexf49f53f

256505151 has 24 divisors (see below), whose sum is σ = 401968560. Its totient is φ = 145055232.

The previous prime is 256505101. The next prime is 256505159. The reversal of 256505151 is 151505652.

It is not a de Polignac number, because 256505151 - 211 = 256503103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256505159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5265 + ... + 23253.

It is an arithmetic number, because the mean of its divisors is an integer number (16748690).

Almost surely, 2256505151 is an apocalyptic number.

256505151 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

256505151 is a deficient number, since it is larger than the sum of its proper divisors (145463409).

256505151 is a wasteful number, since it uses less digits than its factorization.

256505151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18103 (or 18096 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 30.

The square root of 256505151 is about 16015.7781890235. The cubic root of 256505151 is about 635.3777907730.

The spelling of 256505151 in words is "two hundred fifty-six million, five hundred five thousand, one hundred fifty-one".

Divisors: 1 3 7 21 49 97 147 291 679 2037 4753 14259 17989 53967 125923 377769 881461 1744933 2644383 5234799 12214531 36643593 85501717 256505151