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99465408 = 263472741
BaseRepresentation
bin1011110110110…
…11100011000000
320221011100220000
411323123203000
5200430343113
613511520000
72315304420
oct573334300
9227140800
1099465408
1151166919
1229389000
13177b7393
14d2d2480
158aeb373
hex5edb8c0

99465408 has 140 divisors (see below), whose sum is σ = 337090512. Its totient is φ = 28408320.

The previous prime is 99465343. The next prime is 99465427. The reversal of 99465408 is 80456499.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34918 + ... + 37658.

Almost surely, 299465408 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 99465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168545256).

99465408 is an abundant number, since it is smaller than the sum of its proper divisors (237625104).

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

99465408 is a wasteful number, since it uses less digits than its factorization.

99465408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 99465408 is about 9973.2345806163. The cubic root of 99465408 is about 463.3302863120.

The spelling of 99465408 in words is "ninety-nine million, four hundred sixty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 2741 3024 4032 4536 5184 5482 6048 8223 9072 10964 12096 16446 18144 19187 21928 24669 32892 36288 38374 43856 49338 57561 65784 74007 76748 87712 98676 115122 131568 148014 153496 172683 175424 197352 222021 230244 263136 296028 306992 345366 394704 444042 460488 518049 526272 592056 613984 690732 789408 888084 920976 1036098 1184112 1227968 1381464 1554147 1578816 1776168 1841952 2072196 2368224 2762928 3108294 3552336 3683904 4144392 4736448 5525856 6216588 7104672 8288784 11051712 12433176 14209344 16577568 24866352 33155136 49732704 99465408