485379648
485,379,648 is an even composite number composed of six prime numbers multiplied together.
485379648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 485379648:
26 × 33 × 13 × 17 × 31 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 31 × 41)See below for interesting mathematical facts about the number 485379648 from the Numbermatics database.
Names of 485379648
- Cardinal: 485379648 can be written as Four hundred eighty-five million, three hundred seventy-nine thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 4.85379648 × 108
Factors of 485379648
Divisors of 485379648
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 31 32 34 36 39 41 48 51 52 54 62 64 68 72 78 82 93 96 102 104 108 117 123 124 136 144 153 156 164 186 192 204 208 216 221 234 246 248 272 279 288 306 312 328 351 369 372 403 408 416 432 442 459 468 492 496 527 533 544 558 576 612 624 656 663 697 702 738 744 806 816 832 837 864 884 918 936 984 992 1054 1066 1088 1107 1116 1209 1224 1248 1271 1312 1326 1394 1404 1476 1488 1581 1599 1612 1632 1674 1728 1768 1836 1872 1968 1984 1989 2091 2108 2132 2214 2232 2418 2448 2496 2542 2624 2652 2788 2808 2952 2976 3162 3198 3224 3264 3348 3536 3627 3672 3744 3813 3936 3978 4182 4216 4264 4428 4464 4743 4797 4836 4896 5084 5304 5576 5616 5904 5952 5967 6273 6324 6396 6448 6696 6851 7072 7254 7344 7488 7626 7872 7956 8364 8432 8528 8856 8928 9061 9486 9594 9672 9792 10168 10608 10881 11152 11232 11439 11808 11934 12546 12648 12792 12896 13392 13702 14144 14229 14391 14508 14688 15252 15912 16523 16728 16864 17056 17712 17856 18122 18819 18972 19188 19344 20336 20553 21216 21607 21762 22304 22464 22878 23616 23868 25092 25296 25584 25792 26784 27183 27404 28458 28782 29016 29376 30504 31824 33046 33456 33728 34112 34317 35424 36244 37638 37944 38376 38688 40672 41106 42432 43214 43524 44608 45756 47736 49569 50184 50592 51168 53568 54366 54808 56916 57564 58032 61008 61659 63648 64821 66092 66912 68634 70848 72488 75276 75888 76752 77376 81344 81549 82212 86428 87048 91512 95472 99138 100368 101184 102336 108732 109616 113832 115128 116064 122016 123318 127296 129642 132184 133824 137268 144976 148707 150552 151776 153504 163098 164424 172856 174096 183024 184977 190944 194463 198276 200736 217464 219232 227664 230256 232128 244032 244647 246636 259284 264368 274536 280891 289952 297414 301104 303552 307008 326196 328848 345712 348192 366048 369954 381888 388926 396552 401472 434928 438464 446121 455328 460512 489294 493272 518568 528736 549072 561782 579904 583389 594828 602208 652392 657696 691424 696384 732096 739908 777852 793104 842673 869856 892242 910656 921024 978588 986544 1037136 1057472 1098144 1123564 1166778 1189656 1204416 1304784 1315392 1382848 1479816 1555704 1586208 1685346 1739712 1784484 1957176 1973088 2074272 2196288 2247128 2333556 2379312 2528019 2609568 2959632 3111408 3172416 3370692 3568968 3914352 3946176 4148544 4494256 4667112 4758624 5056038 5219136 5919264 6222816 6741384 7137936 7584057 7828704 8988512 9334224 9517248 10112076 11838528 12445632 13482768 14275872 15168114 15657408 17977024 18668448 20224152 26965536 28551744 30336228 37336896 40448304 53931072 60672456 80896608 121344912 161793216 242689824 485379648
- Sum of all divisors σ(n): 1720535040
- Sum of proper divisors (its aliquot sum) s(n): 1235155392
- 485379648 is an abundant number, because the sum of its proper divisors (1235155392) is greater than itself. Its abundance is 749775744
Bases of 485379648
- Binary: 111001110111001001110010000002
- Hexadecimal: 0x1CEE4E40
- Base-36: 80ZDC0
Squares and roots of 485379648
- 485379648 squared (4853796482) is 235593402692603904
- 485379648 cubed (4853796483) is 114352242870058335126945792
-
The
square root of 485379648 is 22031.3333232467 -
The
cube root of 485379648 is 785.8877527487
Scales and comparisons
How big is 485379648?- 485,379,648 seconds is equal to 15 years, 22 weeks, 3 days, 19 hours, 40 minutes, 48 seconds.
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To count from 1 to 485,379,648 would take you about twenty-three 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 485379648 cubic inches would be around 65.5 feet tall.
Recreational maths with 485379648
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