Base | Representation |
---|---|
bin | 11110101100000… |
… | …11111000000001 |
3 | 122221102101001021 |
4 | 33112003320001 |
5 | 1011401110111 |
6 | 41313505441 |
7 | 6244133446 |
oct | 1726037001 |
9 | 587371037 |
10 | 257441281 |
11 | 122356499 |
12 | 72272281 |
13 | 41449726 |
14 | 262959cd |
15 | 17903d71 |
hex | f583e01 |
257441281 has 2 divisors, whose sum is σ = 257441282. Its totient is φ = 257441280.
The previous prime is 257441273. The next prime is 257441287. The reversal of 257441281 is 182144752.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 245079025 + 12362256 = 15655^2 + 3516^2 .
It is a cyclic number.
It is not a de Polignac number, because 257441281 - 23 = 257441273 is a prime.
It is a super-2 number, since 2×2574412812 = 132552026325841922, which contains 22 as substring.
It is not a weakly prime, because it can be changed into another prime (257441287) 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 as a sum of consecutive naturals, namely, 128720640 + 128720641.
It is an arithmetic number, because the mean of its divisors is an integer number (128720641).
Almost surely, 2257441281 is an apocalyptic number.
It is an amenable number.
257441281 is a deficient number, since it is larger than the sum of its proper divisors (1).
257441281 is an equidigital number, since it uses as much as digits as its factorization.
257441281 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 17920, while the sum is 34.
The square root of 257441281 is about 16044.9768151905. The cubic root of 257441281 is about 636.1498013827.
The spelling of 257441281 in words is "two hundred fifty-seven million, four hundred forty-one thousand, two hundred eighty-one".
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