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99000192 = 273283911
BaseRepresentation
bin1011110011010…
…01111110000000
320220021201201210
411321221332000
5200321001232
613453530120
72311326204
oct571517600
9226251653
1099000192
1150979345
12291a3940
13176836c5
14d210b04
158a585cc
hex5e69f80

99000192 has 64 divisors (see below), whose sum is σ = 264188160. Its totient is φ = 32847360.

The previous prime is 99000157. The next prime is 99000217. The reversal of 99000192 is 29100099.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108217 + ... + 109127.

It is an arithmetic number, because the mean of its divisors is an integer number (4127940).

Almost surely, 299000192 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 99000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132094080).

99000192 is an abundant number, since it is smaller than the sum of its proper divisors (165187968).

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

99000192 is a wasteful number, since it uses less digits than its factorization.

99000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 99000192 is about 9949.8840194245. The cubic root of 99000192 is about 462.6067999768.

The spelling of 99000192 in words is "ninety-nine million, one hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 283 384 566 849 911 1132 1698 1822 2264 2733 3396 3644 4528 5466 6792 7288 9056 10932 13584 14576 18112 21864 27168 29152 36224 43728 54336 58304 87456 108672 116608 174912 257813 349824 515626 773439 1031252 1546878 2062504 3093756 4125008 6187512 8250016 12375024 16500032 24750048 33000064 49500096 99000192