Search a number
-
+
256081716 = 223311297433
BaseRepresentation
bin11110100001101…
…11111100110100
3122211212022002000
433100313330310
51011024103331
641224415300
76226441632
oct1720677464
9584768060
10256081716
11121607a90
1271917530
1341091957
1426020352
15177360e6
hexf437f34

256081716 has 96 divisors (see below), whose sum is σ = 749347200. Its totient is φ = 74914560.

The previous prime is 256081711. The next prime is 256081717. The reversal of 256081716 is 617180652.

256081716 is a `hidden beast` number, since 2 + 560 + 81 + 7 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256081711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30736 + ... + 38168.

It is an arithmetic number, because the mean of its divisors is an integer number (7805700).

Almost surely, 2256081716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256081716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374673600).

256081716 is an abundant number, since it is smaller than the sum of its proper divisors (493265484).

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

256081716 is a wasteful number, since it uses less digits than its factorization.

256081716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7478 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 256081716 is about 16002.5534212512. The cubic root of 256081716 is about 635.0279740502.

The spelling of 256081716 in words is "two hundred fifty-six million, eighty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2871 3132 3828 5742 7433 8613 11484 14866 17226 22299 29732 34452 44598 66897 81763 89196 133794 163526 200691 215557 245289 267588 327052 401382 431114 490578 646671 735867 802764 862228 981156 1293342 1471734 1940013 2207601 2371127 2586684 2943468 3880026 4415202 4742254 5820039 7113381 7760052 8830404 9484508 11640078 14226762 21340143 23280156 28453524 42680286 64020429 85360572 128040858 256081716