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256457745 = 3456131033
BaseRepresentation
bin11110100100100…
…11110000010001
3122212120101220000
433102103300101
51011123121440
641240440213
76232566135
oct1722236021
9585511800
10256457745
11121844555
1271a79069
1341193b5b
14260bb3c5
15177ac730
hexf493c11

256457745 has 40 divisors (see below), whose sum is σ = 460919976. Its totient is φ = 136422144.

The previous prime is 256457723. The next prime is 256457771. The reversal of 256457745 is 547754652.

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 239909121 = 4068^2 + 15489^2 .

It is not a de Polignac number, because 256457745 - 221 = 254360593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 256457745.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 247749 + ... + 248781.

Almost surely, 2256457745 is an apocalyptic number.

It is an amenable number.

256457745 is a deficient number, since it is larger than the sum of its proper divisors (204462231).

256457745 is a wasteful number, since it uses less digits than its factorization.

256457745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1654 counting only the distinct ones).

The product of its digits is 1176000, while the sum is 45.

The square root of 256457745 is about 16014.2981425974. The cubic root of 256457745 is about 635.3386459121.

The spelling of 256457745 in words is "two hundred fifty-six million, four hundred fifty-seven thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 613 1033 1839 3065 3099 5165 5517 9195 9297 15495 16551 27585 27891 46485 49653 82755 83673 139455 248265 418365 633229 1899687 3166145 5699061 9498435 17097183 28495305 51291549 85485915 256457745