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96108192 = 25323071087
BaseRepresentation
bin1011011101001…
…11111010100000
320200211210122200
411232213322200
5144100430232
613311533200
72244622545
oct556477240
9220753580
1096108192
114a283564
122822a200
1316bb026b
14ca9abcc
15868677c
hex5ba7ea0

96108192 has 72 divisors (see below), whose sum is σ = 274450176. Its totient is φ = 31902336.

The previous prime is 96108169. The next prime is 96108263. The reversal of 96108192 is 29180169.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87873 + ... + 88959.

It is an arithmetic number, because the mean of its divisors is an integer number (3811808).

Almost surely, 296108192 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 96108192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137225088).

96108192 is an abundant number, since it is smaller than the sum of its proper divisors (178341984).

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

96108192 is a wasteful number, since it uses less digits than its factorization.

96108192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 96108192 is about 9803.4785663049. The cubic root of 96108192 is about 458.0576448360.

The spelling of 96108192 in words is "ninety-six million, one hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1087 1228 1842 2174 2456 2763 3261 3684 4348 4912 5526 6522 7368 8696 9783 9824 11052 13044 14736 17392 19566 22104 26088 29472 34784 39132 44208 52176 78264 88416 104352 156528 313056 333709 667418 1001127 1334836 2002254 2669672 3003381 4004508 5339344 6006762 8009016 10678688 12013524 16018032 24027048 32036064 48054096 96108192