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296258116 = 2272111759137
BaseRepresentation
bin10001101010001…
…000101001000100
3202122110110201211
4101222020221010
51101320224431
645221501204
710225103200
oct2152105104
9678413654
10296258116
11142259120
1283271804
13494ba87b
142b4bbb00
151b0202b1
hex11a88a44

296258116 has 144 divisors (see below), whose sum is σ = 713603520. Its totient is φ = 106014720.

The previous prime is 296258077. The next prime is 296258117. The reversal of 296258116 is 611852692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296258117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2162400 + ... + 2162536.

It is an arithmetic number, because the mean of its divisors is an integer number (4955580).

Almost surely, 2296258116 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 296258116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356801760).

296258116 is an abundant number, since it is smaller than the sum of its proper divisors (417345404).

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

296258116 is a wasteful number, since it uses less digits than its factorization.

296258116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 296258116 is about 17212.1502433601. The cubic root of 296258116 is about 666.6380302144.

The spelling of 296258116 in words is "two hundred ninety-six million, two hundred fifty-eight thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 49 59 68 77 98 118 119 137 154 187 196 236 238 274 308 374 413 476 539 548 649 748 826 833 959 1003 1078 1298 1309 1507 1652 1666 1918 2006 2156 2329 2596 2618 2891 3014 3332 3836 4012 4543 4658 5236 5782 6028 6713 7021 8083 9086 9163 9316 10549 11033 11564 13426 14042 16166 16303 18172 18326 21098 22066 25619 26852 28084 31801 32332 32606 36652 42196 44132 49147 51238 56581 63602 65212 73843 77231 88913 98294 102476 113162 114121 127204 137411 147686 154462 177826 179333 196588 226324 228242 274822 295372 308924 355652 358666 396067 456484 540617 549644 622391 717332 792134 961877 1081234 1244782 1255331 1511521 1584268 1923754 2162468 2489564 2510662 3023042 3847508 4356737 5021324 6046084 6733139 8713474 10580647 13466278 17426948 21161294 26932556 42322588 74064529 148129058 296258116