428482656
428,482,656 is an even composite number composed of five prime numbers multiplied together.
What does the number 428482656 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
428482656 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 428482656:
25 × 33 × 72 × 29 × 349
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 29 × 349)See below for interesting mathematical facts about the number 428482656 from the Numbermatics database.
Names of 428482656
- Cardinal: 428482656 can be written as Four hundred twenty-eight million, four hundred eighty-two thousand, six hundred fifty-six.
Scientific notation
- Scientific notation: 4.28482656 × 108
Factors of 428482656
Divisors of 428482656
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 32 36 42 48 49 54 56 58 63 72 84 87 96 98 108 112 116 126 144 147 168 174 189 196 203 216 224 232 252 261 288 294 336 348 349 378 392 406 432 441 464 504 522 588 609 672 696 698 756 783 784 812 864 882 928 1008 1044 1047 1176 1218 1323 1392 1396 1421 1512 1566 1568 1624 1764 1827 2016 2088 2094 2352 2436 2443 2646 2784 2792 2842 3024 3132 3141 3248 3528 3654 4176 4188 4263 4704 4872 4886 5292 5481 5584 5684 6048 6264 6282 6496 7056 7308 7329 8352 8376 8526 9423 9744 9772 10121 10584 10962 11168 11368 12528 12564 12789 14112 14616 14658 16752 17052 17101 18846 19488 19544 20242 21168 21924 21987 22736 25056 25128 25578 29232 29316 30363 33504 34104 34202 37692 38367 39088 40484 42336 43848 43974 45472 50256 51156 51303 58464 58632 60726 65961 68208 68404 70847 75384 76734 78176 80968 87696 87948 91089 100512 102312 102606 117264 121452 131922 136416 136808 141694 150768 153468 153909 161936 175392 175896 182178 204624 205212 212541 234528 242904 263844 273267 273616 283388 301536 306936 307818 323872 351792 364356 409248 410424 425082 461727 485808 495929 527688 546534 547232 566776 613872 615636 637623 703584 728712 820848 850164 923454 971616 991858 1055376 1093068 1133552 1227744 1231272 1275246 1457424 1487787 1641696 1700328 1846908 1912869 1983716 2110752 2186136 2267104 2462544 2550492 2914848 2975574 3400656 3693816 3825738 3967432 4372272 4463361 4925088 5100984 5951148 6801312 7387632 7651476 7934864 8744544 8926722 10201968 11902296 13390083 14775264 15302952 15869728 17853444 20403936 23804592 26780166 30605904 35706888 47609184 53560332 61211808 71413776 107120664 142827552 214241328 428482656
- Sum of all divisors σ(n): 1508220000
- Sum of proper divisors (its aliquot sum) s(n): 1079737344
- 428482656 is an abundant number, because the sum of its proper divisors (1079737344) is greater than itself. Its abundance is 651254688
Bases of 428482656
- Binary: 110011000101000100000011000002
- Hexadecimal: 0x198A2060
- Base-36: 733VC0
Squares and roots of 428482656
- 428482656 squared (4284826562) is 183597386492814336
- 428482656 cubed (4284826563) is 78668295799099611604156416
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The
square root of 428482656 is 20699.8226079355 -
The
cube root of 428482656 is 753.8953809821
Scales and comparisons
How big is 428482656?- 428,482,656 seconds is equal to 13 years, 32 weeks, 3 days, 6 hours, 57 minutes, 36 seconds.
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To count from 1 to 428,482,656 would take you about twenty years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 428482656 cubic inches would be around 62.8 feet tall.
Recreational maths with 428482656
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