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99093672 = 23334347227
BaseRepresentation
bin1011110100000…
…00110010101000
320220110110222000
411322000302220
5200331444142
613455531000
72312165556
oct572006250
9226413860
1099093672
1150a325a7
1229229a60
13176b7112
14d236bd6
158a7614c
hex5e80ca8

99093672 has 128 divisors (see below), whose sum is σ = 288921600. Its totient is φ = 31437504.

The previous prime is 99093671. The next prime is 99093689. The reversal of 99093672 is 27639099.

It is not an unprimeable number, because it can be changed into a prime (99093671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436423 + ... + 436649.

It is an arithmetic number, because the mean of its divisors is an integer number (2257200).

Almost surely, 299093672 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 99093672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144460800).

99093672 is an abundant number, since it is smaller than the sum of its proper divisors (189827928).

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

99093672 is a wasteful number, since it uses less digits than its factorization.

99093672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 99093672 is about 9954.5804532386. The cubic root of 99093672 is about 462.7523582121.

The spelling of 99093672 in words is "ninety-nine million, ninety-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 47 54 72 86 94 108 129 141 172 188 216 227 258 282 344 376 387 423 454 516 564 681 774 846 908 1032 1128 1161 1269 1362 1548 1692 1816 2021 2043 2322 2538 2724 3096 3384 4042 4086 4644 5076 5448 6063 6129 8084 8172 9288 9761 10152 10669 12126 12258 16168 16344 18189 19522 21338 24252 24516 29283 32007 36378 39044 42676 48504 49032 54567 58566 64014 72756 78088 85352 87849 96021 109134 117132 128028 145512 175698 192042 218268 234264 256056 263547 288063 351396 384084 436536 458767 527094 576126 702792 768168 917534 1054188 1152252 1376301 1835068 2108376 2304504 2752602 3670136 4128903 5505204 8257806 11010408 12386709 16515612 24773418 33031224 49546836 99093672