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99919008 = 253475507
BaseRepresentation
bin1011111010010…
…10010010100000
320222000102010000
411331022102200
5201034402013
613525340000
72322204030
oct575122240
9228012100
1099919008
11514466a2
1229567600
1317915997
14d3ad8c0
158b8a973
hex5f4a4a0

99919008 has 120 divisors (see below), whose sum is σ = 335899872. Its totient is φ = 28543104.

The previous prime is 99918989. The next prime is 99919019. The reversal of 99919008 is 80091999.

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, 15391 + ... + 20897.

Almost surely, 299919008 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 99919008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167949936).

99919008 is an abundant number, since it is smaller than the sum of its proper divisors (235980864).

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

99919008 is a wasteful number, since it uses less digits than its factorization.

99919008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5536 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 99919008 is about 9995.9495797048. The cubic root of 99919008 is about 464.0335389946.

The spelling of 99919008 in words is "ninety-nine million, nine hundred nineteen thousand, 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 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 5507 6048 9072 11014 16521 18144 22028 33042 38549 44056 49563 66084 77098 88112 99126 115647 132168 148689 154196 176224 198252 231294 264336 297378 308392 346941 396504 446067 462588 528672 594756 616784 693882 793008 892134 925176 1040823 1189512 1233568 1387764 1586016 1784268 1850352 2081646 2379024 2775528 3122469 3568536 3700704 4163292 4758048 5551056 6244938 7137072 8326584 11102112 12489876 14274144 16653168 24979752 33306336 49959504 99919008