484189920
484,189,920 is an even composite number composed of six prime numbers multiplied together.
484189920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 484189920:
25 × 33 × 5 × 17 × 19 × 347
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 19 × 347)See below for interesting mathematical facts about the number 484189920 from the Numbermatics database.
Names of 484189920
- Cardinal: 484189920 can be written as Four hundred eighty-four million, one hundred eighty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.8418992 × 108
Factors of 484189920
Divisors of 484189920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 27 30 32 34 36 38 40 45 48 51 54 57 60 68 72 76 80 85 90 95 96 102 108 114 120 135 136 144 152 153 160 170 171 180 190 204 216 228 240 255 270 272 285 288 304 306 323 340 342 347 360 380 408 432 456 459 480 510 513 540 544 570 608 612 646 680 684 694 720 760 765 816 855 864 912 918 969 1020 1026 1041 1080 1140 1224 1292 1360 1368 1388 1440 1520 1530 1615 1632 1710 1735 1824 1836 1938 2040 2052 2082 2160 2280 2295 2448 2565 2584 2720 2736 2776 2907 3040 3060 3123 3230 3420 3470 3672 3876 4080 4104 4164 4320 4560 4590 4845 4896 5130 5168 5205 5472 5552 5814 5899 6120 6246 6460 6593 6840 6940 7344 7752 8160 8208 8328 8721 9120 9180 9369 9690 10260 10336 10410 11104 11628 11798 12240 12492 12920 13186 13680 13880 14535 14688 15504 15615 16416 16656 17442 17697 18360 18738 19380 19779 20520 20820 23256 23596 24480 24984 25840 26372 27360 27760 29070 29495 31008 31230 32965 33312 34884 35394 36720 37476 38760 39558 41040 41640 43605 46512 46845 47192 49968 51680 52744 53091 55520 58140 58990 59337 62460 65930 69768 70788 73440 74952 77520 79116 82080 83280 87210 88485 93024 93690 94384 98895 99936 105488 106182 112081 116280 117980 118674 124920 131860 139536 141576 149904 155040 158232 159273 166560 174420 176970 178011 187380 188768 197790 210976 212364 224162 232560 235960 237348 249840 263720 265455 279072 283152 296685 299808 316464 318546 336243 348840 353940 356022 374760 395580 424728 448324 465120 471920 474696 499680 527440 530910 560405 566304 593370 632928 637092 672486 697680 707880 712044 749520 791160 796365 849456 890055 896648 943840 949392 1008729 1054880 1061820 1120810 1186740 1274184 1344972 1395360 1415760 1424088 1499040 1582320 1592730 1681215 1698912 1780110 1793296 1898784 2017458 2123640 2241620 2373480 2548368 2689944 2831520 2848176 3026187 3164640 3185460 3362430 3560220 3586592 4034916 4247280 4483240 4746960 5043645 5096736 5379888 5696352 6052374 6370920 6724860 7120440 8069832 8494560 8966480 9493920 10087290 10759776 12104748 12741840 13449720 14240880 15130935 16139664 17932960 20174580 24209496 25483680 26899440 28481760 30261870 32279328 40349160 48418992 53798880 60523740 80698320 96837984 121047480 161396640 242094960 484189920
- Sum of all divisors σ(n): 1894233600
- Sum of proper divisors (its aliquot sum) s(n): 1410043680
- 484189920 is an abundant number, because the sum of its proper divisors (1410043680) is greater than itself. Its abundance is 925853760
Bases of 484189920
- Binary: 111001101110000100110111000002
- Hexadecimal: 0x1CDC26E0
- Base-36: 809VC0
Squares and roots of 484189920
- 484189920 squared (4841899202) is 234439878629606400
- 484189920 cubed (4841899203) is 113513426078478832447488000
-
The
square root of 484189920 is 22004.3159402877 -
The
cube root of 484189920 is 785.2451233907
Scales and comparisons
How big is 484189920?- 484,189,920 seconds is equal to 15 years, 20 weeks, 4 days, 1 hour, 12 minutes.
-
To count from 1 to 484,189,920 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 484189920 cubic inches would be around 65.4 feet tall.
Recreational maths with 484189920
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 484189920 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 484189920 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/484189920/
Chicago style:
Numbermatics. 2024. "Number 484189920 - Facts about the integer". https://numbermatics.com/n/484189920/
The information we have on file for 484189920 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 484189920, math, Factors of 484189920, curriculum, school, college, exams, university, Prime factorization of 484189920, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty-four million, one hundred eighty-nine thousand, nine hundred twenty.