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99018304 = 2671171283
BaseRepresentation
bin1011110011011…
…10011001000000
320220022122120121
411321232121000
5200322041204
613454150024
72311433050
oct571563100
9226278517
1099018304
1150990a10
12291b2314
131768ba18
14d217560
158a5db54
hex5e6e640

99018304 has 112 divisors (see below), whose sum is σ = 249302016. Its totient is φ = 37900800.

The previous prime is 99018299. The next prime is 99018313. The reversal of 99018304 is 40381099.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 99018304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349747 + ... + 350029.

Almost surely, 299018304 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 99018304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124651008).

99018304 is an abundant number, since it is smaller than the sum of its proper divisors (150283712).

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

99018304 is a wasteful number, since it uses less digits than its factorization.

99018304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 99018304 is about 9950.7941391630. The cubic root of 99018304 is about 462.6350094287.

The spelling of 99018304 in words is "ninety-nine million, eighteen thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 71 77 88 112 142 154 176 224 283 284 308 352 448 497 566 568 616 704 781 994 1132 1136 1232 1562 1981 1988 2264 2272 2464 3113 3124 3962 3976 4528 4544 4928 5467 6226 6248 7924 7952 9056 10934 12452 12496 15848 15904 18112 20093 21791 21868 24904 24992 31696 31808 40186 43582 43736 49808 49984 63392 80372 87164 87472 99616 126784 140651 160744 174328 174944 199232 221023 281302 321488 348656 349888 442046 562604 642976 697312 884092 1125208 1285952 1394624 1547161 1768184 2250416 3094322 3536368 4500832 6188644 7072736 9001664 12377288 14145472 24754576 49509152 99018304