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296092896 = 253111991409
BaseRepresentation
bin10001101001100…
…000010011100000
3202122011002002120
4101221200103200
51101244433041
645214144240
710223514411
oct2151402340
9678132076
10296092896
11142155a80
12831b2080
13494605c8
142b477808
151aedb366
hex11a604e0

296092896 has 96 divisors (see below), whose sum is σ = 852768000. Its totient is φ = 89210880.

The previous prime is 296092889. The next prime is 296092897. The reversal of 296092896 is 698290692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296092897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209440 + ... + 210848.

It is an arithmetic number, because the mean of its divisors is an integer number (8883000).

Almost surely, 2296092896 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 296092896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426384000).

296092896 is an abundant number, since it is smaller than the sum of its proper divisors (556675104).

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

296092896 is a wasteful number, since it uses less digits than its factorization.

296092896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 296092896 is about 17207.3500574609. The cubic root of 296092896 is about 666.5140815238.

The spelling of 296092896 in words is "two hundred ninety-six million, ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 199 264 352 398 528 597 796 1056 1194 1409 1592 2189 2388 2818 3184 4227 4378 4776 5636 6368 6567 8454 8756 9552 11272 13134 15499 16908 17512 19104 22544 26268 30998 33816 35024 45088 46497 52536 61996 67632 70048 92994 105072 123992 135264 185988 210144 247984 280391 371976 495968 560782 743952 841173 1121564 1487904 1682346 2243128 3084301 3364692 4486256 6168602 6729384 8972512 9252903 12337204 13458768 18505806 24674408 26917536 37011612 49348816 74023224 98697632 148046448 296092896