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88949168 = 247111731137
BaseRepresentation
bin1010100110101…
…00000110110000
320012101002022122
411103110012300
5140232333133
612454253412
72130025010
oct523240660
9205332278
1088949168
1146233910
1225957268
1315574859
14bb55c40
157c20498
hex54d41b0

88949168 has 160 divisors (see below), whose sum is σ = 236556288. Its totient is φ = 31334400.

The previous prime is 88949143. The next prime is 88949171. The reversal of 88949168 is 86194988.

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 31 ways as a sum of consecutive naturals, for example, 649196 + ... + 649332.

Almost surely, 288949168 is an apocalyptic number.

88949168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88949168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118278144).

88949168 is an abundant number, since it is smaller than the sum of its proper divisors (147607120).

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

88949168 is a wasteful number, since it uses less digits than its factorization.

88949168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its digits is 995328, while the sum is 53.

The square root of 88949168 is about 9431.2866566551. The cubic root of 88949168 is about 446.3894926506.

The spelling of 88949168 in words is "eighty-eight million, nine hundred forty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 31 34 44 56 62 68 77 88 112 119 124 136 137 154 176 187 217 238 248 272 274 308 341 374 434 476 496 527 548 616 682 748 868 952 959 1054 1096 1232 1309 1364 1496 1507 1736 1904 1918 2108 2192 2329 2387 2618 2728 2992 3014 3472 3689 3836 4216 4247 4658 4774 5236 5456 5797 6028 7378 7672 8432 8494 9316 9548 10472 10549 11594 12056 14756 15344 16303 16988 18632 19096 20944 21098 23188 24112 25619 29512 29729 32606 33976 37264 38192 40579 42196 46376 46717 51238 59024 59458 65212 67952 72199 81158 84392 92752 93434 102476 118916 130424 144398 162316 168784 179333 186868 204952 237832 260848 288796 324632 327019 358666 373736 409904 475664 505393 577592 649264 654038 717332 747472 794189 1010786 1155184 1308076 1434664 1588378 2021572 2616152 2869328 3176756 4043144 5232304 5559323 6353512 8086288 11118646 12707024 22237292 44474584 88949168