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93393168 = 24311792239
BaseRepresentation
bin1011001000100…
…01000100010000
320111201212100020
411210101010100
5142402040133
613133423440
72212554201
oct544210420
9214655306
1093393168
1148799740
122733ab80
131646c53b
14c5915a8
1582ec0b3
hex5911110

93393168 has 80 divisors (see below), whose sum is σ = 266649600. Its totient is φ = 27930240.

The previous prime is 93393149. The next prime is 93393191. The reversal of 93393168 is 86139339.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40593 + ... + 42831.

It is an arithmetic number, because the mean of its divisors is an integer number (3333120).

Almost surely, 293393168 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 93393168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133324800).

93393168 is an abundant number, since it is smaller than the sum of its proper divisors (173256432).

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

93393168 is a wasteful number, since it uses less digits than its factorization.

93393168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2334 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 93393168 is about 9664.0140728374. The cubic root of 93393168 is about 453.7030538290.

The spelling of 93393168 in words is "ninety-three million, three hundred ninety-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 132 158 176 237 264 316 474 528 632 869 948 1264 1738 1896 2239 2607 3476 3792 4478 5214 6717 6952 8956 10428 13434 13904 17912 20856 24629 26868 35824 41712 49258 53736 73887 98516 107472 147774 176881 197032 295548 353762 394064 530643 591096 707524 1061286 1182192 1415048 1945691 2122572 2830096 3891382 4245144 5837073 7782764 8490288 11674146 15565528 23348292 31131056 46696584 93393168