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296084256 = 25313673541
BaseRepresentation
bin10001101001011…
…110001100100000
3202122010122020120
4101221132030200
51101244144011
645214040240
710223450256
oct2151361440
9678118216
10296084256
1114214a536
12831a9080
13494596b0
142b4745d6
151aed8a06
hex11a5e320

296084256 has 96 divisors (see below), whose sum is σ = 849739968. Its totient is φ = 89717760.

The previous prime is 296084237. The next prime is 296084279. The reversal of 296084256 is 652480692.

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

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, 81846 + ... + 85386.

It is an arithmetic number, because the mean of its divisors is an integer number (8851458).

Almost surely, 2296084256 is an apocalyptic number.

296084256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296084256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424869984).

296084256 is an abundant number, since it is smaller than the sum of its proper divisors (553655712).

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

296084256 is a wasteful number, since it uses less digits than its factorization.

296084256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 296084256 is about 17207.0990001220. The cubic root of 296084256 is about 666.5075984934.

The spelling of 296084256 in words is "two hundred ninety-six million, eighty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 201 208 268 312 402 416 536 624 804 871 1072 1248 1608 1742 2144 2613 3216 3484 3541 5226 6432 6968 7082 10452 10623 13936 14164 20904 21246 27872 28328 41808 42492 46033 56656 83616 84984 92066 113312 138099 169968 184132 237247 276198 339936 368264 474494 552396 711741 736528 948988 1104792 1423482 1473056 1897976 2209584 2846964 3084211 3795952 4419168 5693928 6168422 7591904 9252633 11387856 12336844 18505266 22775712 24673688 37010532 49347376 74021064 98694752 148042128 296084256