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86496228 = 22337132677
BaseRepresentation
bin1010010011111…
…01001111100100
320000202110112000
411021331033210
5134120334403
612325525300
72100130410
oct511751744
9200673460
1086496228
1144908995
1224b73830
1314bc6200
14b6b7d40
1578d87a3
hex527d3e4

86496228 has 144 divisors (see below), whose sum is σ = 277925760. Its totient is φ = 22778496.

The previous prime is 86496217. The next prime is 86496233. The reversal of 86496228 is 82269468.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127426 + ... + 128102.

It is an arithmetic number, because the mean of its divisors is an integer number (1930040).

Almost surely, 286496228 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 86496228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138962880).

86496228 is an abundant number, since it is smaller than the sum of its proper divisors (191429532).

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

86496228 is a wasteful number, since it uses less digits than its factorization.

86496228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 702 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 86496228 is about 9300.3348326821. The cubic root of 86496228 is about 442.2478425469.

The spelling of 86496228 in words is "eighty-six million, four hundred ninety-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 169 182 189 234 252 273 338 351 364 378 468 507 546 676 677 702 756 819 1014 1092 1183 1354 1404 1521 1638 2028 2031 2366 2457 2708 3042 3276 3549 4062 4563 4732 4739 4914 6084 6093 7098 8124 8801 9126 9478 9828 10647 12186 14196 14217 17602 18252 18279 18956 21294 24372 26403 28434 31941 35204 36558 42588 42651 52806 56868 61607 63882 73116 79209 85302 105612 114413 123214 127764 127953 158418 170604 184821 228826 237627 246428 255906 316836 343239 369642 457652 475254 511812 554463 686478 739284 800891 950508 1029717 1108926 1372956 1601782 1663389 2059434 2217852 2402673 3089151 3203564 3326778 4118868 4805346 6178302 6653556 7208019 9610692 12356604 14416038 21624057 28832076 43248114 86496228