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286681164 = 2237211127349
BaseRepresentation
bin10001000101100…
…110100001001100
3201222102220121220
4101011212201030
51041342244124
644240323340
710050515100
oct2105464114
9658386556
10286681164
11137907890
1280013550
1347516733
142a107900
151a27c879
hex1116684c

286681164 has 144 divisors (see below), whose sum is σ = 858009600. Its totient is φ = 73664640.

The previous prime is 286681159. The next prime is 286681181. The reversal of 286681164 is 461186682.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821262 + ... + 821610.

It is an arithmetic number, because the mean of its divisors is an integer number (5958400).

Almost surely, 2286681164 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 286681164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

286681164 is an abundant number, since it is smaller than the sum of its proper divisors (571328436).

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

286681164 is a wasteful number, since it uses less digits than its factorization.

286681164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 286681164 is about 16931.6615841447. The cubic root of 286681164 is about 659.3758746318.

The spelling of 286681164 in words is "two hundred eighty-six million, six hundred eighty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 127 132 147 154 196 231 254 294 308 349 381 462 508 539 588 698 762 889 924 1047 1078 1396 1397 1524 1617 1778 2094 2156 2443 2667 2794 3234 3556 3839 4188 4191 4886 5334 5588 6223 6468 7329 7678 8382 9772 9779 10668 11517 12446 14658 15356 16764 17101 18669 19558 23034 24892 26873 29316 29337 34202 37338 39116 44323 46068 51303 53746 58674 68404 68453 74676 80619 88646 102606 107492 117348 132969 136906 161238 177292 188111 205212 205359 265938 273812 310261 322476 376222 410718 487553 531876 564333 620522 752444 821436 930783 975106 1128666 1241044 1462659 1861566 1950212 2171827 2257332 2925318 3412871 3723132 4343654 5850636 6515481 6825742 8687308 10238613 13030962 13651484 20477226 23890097 26061924 40954452 47780194 71670291 95560388 143340582 286681164