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99094464 = 2632723511
BaseRepresentation
bin1011110100000…
…00111111000000
320220110112001100
411322000333000
5200332010324
613455534400
72312201100
oct572007700
9226415040
1099094464
1150a33157
122922a400
13176b75a1
14d237200
158a764c9
hex5e80fc0

99094464 has 126 divisors (see below), whose sum is σ = 330503784. Its totient is φ = 28304640.

The previous prime is 99094441. The next prime is 99094493. The reversal of 99094464 is 46449099.

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26469 + ... + 29979.

Almost surely, 299094464 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 99094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165251892).

99094464 is an abundant number, since it is smaller than the sum of its proper divisors (231409320).

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

99094464 is a wasteful number, since it uses less digits than its factorization.

99094464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 99094464 is about 9954.6202338412. The cubic root of 99094464 is about 462.7535910487.

The spelling of 99094464 in words is "ninety-nine million, ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3511 3528 4032 4704 7022 7056 9408 10533 14044 14112 21066 24577 28088 28224 31599 42132 49154 56176 63198 73731 84264 98308 112352 126396 147462 168528 172039 196616 221193 224704 252792 294924 337056 344078 393232 442386 505584 516117 589848 674112 688156 786464 884772 1011168 1032234 1179696 1376312 1548351 1572928 1769544 2022336 2064468 2359392 2752624 3096702 3539088 4128936 4718784 5505248 6193404 7078176 8257872 11010496 12386808 14156352 16515744 24773616 33031488 49547232 99094464