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296716896 = 25327532777
BaseRepresentation
bin10001101011111…
…000101001100000
3202200022210001200
4101223320221200
51101424420041
645235401200
710232023560
oct2153705140
9680283050
10296716896
11142541883
1283453200
134961b638
142b59ada0
151b0b11b6
hex11af8a60

296716896 has 144 divisors (see below), whose sum is σ = 982878624. Its totient is φ = 83146752.

The previous prime is 296716883. The next prime is 296716897. The reversal of 296716896 is 698617692.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (296716897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105460 + ... + 108236.

It is an arithmetic number, because the mean of its divisors is an integer number (6825546).

Almost surely, 2296716896 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 296716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491439312).

296716896 is an abundant number, since it is smaller than the sum of its proper divisors (686161728).

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

296716896 is a wasteful number, since it uses less digits than its factorization.

296716896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2842 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 296716896 is about 17225.4723012172. The cubic root of 296716896 is about 666.9819672992.

The spelling of 296716896 in words is "two hundred ninety-six million, seven hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2777 2968 3339 3816 4452 5088 5554 5936 6678 7632 8331 8904 11108 11872 13356 15264 16662 17808 19439 22216 24993 26712 33324 35616 38878 44432 49986 53424 58317 66648 77756 88864 99972 106848 116634 133296 147181 155512 174951 199944 233268 266592 294362 311024 349902 399888 441543 466536 588724 622048 699804 799776 883086 933072 1030267 1177448 1324629 1399608 1766172 1866144 2060534 2354896 2649258 2799216 3090801 3532344 4121068 4709792 5298516 5598432 6181602 7064688 8242136 9272403 10597032 12363204 14129376 16484272 18544806 21194064 24726408 32968544 37089612 42388128 49452816 74179224 98905632 148358448 296716896