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99096192 = 2732132509
BaseRepresentation
bin1011110100000…
…01011010000000
320220110121102100
411322001122000
5200332034232
613455550400
72312206116
oct572013200
9226417370
1099096192
1150a34488
122922b400
13176b8300
14d237ab6
158a76c7c
hex5e81680

99096192 has 144 divisors (see below), whose sum is σ = 309388950. Its totient is φ = 30431232.

The previous prime is 99096187. The next prime is 99096199. The reversal of 99096192 is 29169099.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 66194496 + 32901696 = 8136^2 + 5736^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (99096199) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194434 + ... + 194942.

Almost surely, 299096192 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 99096192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154694475).

99096192 is an abundant number, since it is smaller than the sum of its proper divisors (210292758).

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

99096192 is a wasteful number, since it uses less digits than its factorization.

99096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 99096192 is about 9954.7070273313. The cubic root of 99096192 is about 462.7562808510.

The spelling of 99096192 in words is "ninety-nine million, ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 507 509 576 624 676 832 936 1014 1018 1152 1248 1352 1521 1527 1664 1872 2028 2036 2496 2704 3042 3054 3744 4056 4072 4581 4992 5408 6084 6108 6617 7488 8112 8144 9162 10816 12168 12216 13234 14976 16224 16288 18324 19851 21632 24336 24432 26468 32448 32576 36648 39702 48672 48864 52936 59553 64896 65152 73296 79404 86021 97344 97728 105872 119106 146592 158808 172042 194688 195456 211744 238212 258063 293184 317616 344084 423488 476424 516126 586368 635232 688168 774189 846976 952848 1032252 1270464 1376336 1548378 1905696 2064504 2540928 2752672 3096756 3811392 4129008 5505344 6193512 7622784 8258016 11010688 12387024 16516032 24774048 33032064 49548096 99096192