Search a number
-
+
255891312 = 2434474201
BaseRepresentation
bin11110100000010…
…01011101110000
3122211111121220000
433100021131300
51011002010222
641220350000
76225016545
oct1720113560
9584447800
10255891312
11121497a26
1271845300
13410260a1
1425db0bcc
15176e99ac
hexf409770

255891312 has 100 divisors (see below), whose sum is σ = 756561696. Its totient is φ = 83462400.

The previous prime is 255891301. The next prime is 255891341. The reversal of 255891312 is 213198552.

255891312 is a `hidden beast` number, since 2 + 558 + 91 + 3 + 12 = 666.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 58812 + ... + 63012.

Almost surely, 2255891312 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 255891312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378280848).

255891312 is an abundant number, since it is smaller than the sum of its proper divisors (500670384).

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

255891312 is a wasteful number, since it uses less digits than its factorization.

255891312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4253 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 255891312 is about 15996.6031394168. The cubic root of 255891312 is about 634.8705479393.

The spelling of 255891312 in words is "two hundred fifty-five million, eight hundred ninety-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 1128 1269 1296 1692 2256 2538 3384 3807 4201 5076 6768 7614 8402 10152 12603 15228 16804 20304 25206 30456 33608 37809 50412 60912 67216 75618 100824 113427 151236 197447 201648 226854 302472 340281 394894 453708 592341 604944 680562 789788 907416 1184682 1361124 1579576 1777023 1814832 2369364 2722248 3159152 3554046 4738728 5331069 5444496 7108092 9477456 10662138 14216184 15993207 21324276 28432368 31986414 42648552 63972828 85297104 127945656 255891312