Search a number
-
+
256160025 = 3252112972
BaseRepresentation
bin11110100010010…
…11000100011001
3122212000021111100
433101023010121
51011034110100
641230222013
76230216142
oct1721130431
9585007440
10256160025
11121660900
1271954909
13410bb4a4
1426040ac9
151774e400
hexf44b119

256160025 has 81 divisors (see below), whose sum is σ = 509565693. Its totient is φ = 122918400.

The previous prime is 256160017. The next prime is 256160111. The reversal of 256160025 is 520061652.

The square root of 256160025 is 16005.

It is a perfect power (a square), and thus also a powerful number.

256160025 is a `hidden beast` number, since 2 + 56 + 1 + 600 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9418761 + 246741264 = 3069^2 + 15708^2 .

It is not a de Polignac number, because 256160025 - 23 = 256160017 is a prime.

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 80 ways as a sum of consecutive naturals, for example, 2640777 + ... + 2640873.

Almost surely, 2256160025 is an apocalyptic number.

256160025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256160025 is the 16005-th square number.

256160025 is the 8003-rd centered octagonal number.

It is an amenable number.

256160025 is a deficient number, since it is larger than the sum of its proper divisors (253405668).

256160025 is a wasteful number, since it uses less digits than its factorization.

256160025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The cubic root of 256160025 is about 635.0926973195.

Multiplying 256160025 by its product of nonzero digits (3600), we get a square (922176090000 = 9603002).

The spelling of 256160025 in words is "two hundred fifty-six million, one hundred sixty thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 97 99 121 165 225 275 291 363 485 495 605 825 873 1067 1089 1455 1815 2425 2475 3025 3201 4365 5335 5445 7275 9075 9409 9603 11737 16005 21825 26675 27225 28227 35211 47045 48015 58685 80025 84681 103499 105633 141135 176055 235225 240075 293425 310497 423405 517495 528165 705675 880275 931491 1138489 1552485 2117025 2587475 2640825 3415467 4657455 5692445 7762425 10246401 17077335 23287275 28462225 51232005 85386675 256160025