Search a number
-
+
256448196 = 22321721572
BaseRepresentation
bin11110100100100…
…01011011000100
3122212112220210100
433102101123010
51011122320241
641240324100
76232526244
oct1722213304
9585486710
10256448196
11121838364
1271a73630
134118c6c4
14260b7b24
15177a99b6
hexf4916c4

256448196 has 81 divisors (see below), whose sum is σ = 693033159. Its totient is φ = 79941888.

The previous prime is 256448177. The next prime is 256448201. The reversal of 256448196 is 691844652.

The square root of 256448196 is 16014.

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

256448196 is a `hidden beast` number, since 2 + 564 + 4 + 81 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1726596 + 254721600 = 1314^2 + 15960^2 .

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 26 ways as a sum of consecutive naturals, for example, 1633350 + ... + 1633506.

Almost surely, 2256448196 is an apocalyptic number.

256448196 is the 16014-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256448196

256448196 is an abundant number, since it is smaller than the sum of its proper divisors (436584963).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256448196 is a wasteful number, since it uses less digits than its factorization.

256448196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The cubic root of 256448196 is about 635.3307603713.

The spelling of 256448196 in words is "two hundred fifty-six million, four hundred forty-eight thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 157 204 289 306 314 471 578 612 628 867 942 1156 1413 1734 1884 2601 2669 2826 3468 5202 5338 5652 8007 10404 10676 16014 24021 24649 32028 45373 48042 49298 73947 90746 96084 98596 136119 147894 181492 221841 272238 295788 408357 419033 443682 544476 816714 838066 887364 1257099 1633428 1676132 2514198 3771297 5028396 7123561 7542594 14247122 15085188 21370683 28494244 42741366 64112049 85482732 128224098 256448196