480506880
480,506,880 is an even composite number composed of six prime numbers multiplied together.
480506880 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 480506880:
210 × 3 × 5 × 7 × 41 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 41 × 109)See below for interesting mathematical facts about the number 480506880 from the Numbermatics database.
Names of 480506880
- Cardinal: 480506880 can be written as Four hundred eighty million, five hundred six thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.8050688 × 108
Factors of 480506880
Divisors of 480506880
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 41 42 48 56 60 64 70 80 82 84 96 105 109 112 120 123 128 140 160 164 168 192 205 210 218 224 240 246 256 280 287 320 327 328 336 384 410 420 436 448 480 492 512 545 560 574 615 640 654 656 672 763 768 820 840 861 872 896 960 984 1024 1090 1120 1148 1230 1280 1308 1312 1344 1435 1526 1536 1635 1640 1680 1722 1744 1792 1920 1968 2180 2240 2289 2296 2460 2560 2616 2624 2688 2870 3052 3072 3270 3280 3360 3444 3488 3584 3815 3840 3936 4305 4360 4469 4480 4578 4592 4920 5120 5232 5248 5376 5740 6104 6540 6560 6720 6888 6976 7168 7630 7680 7872 8610 8720 8938 8960 9156 9184 9840 10464 10496 10752 11445 11480 12208 13080 13120 13407 13440 13776 13952 15260 15360 15744 17220 17440 17876 17920 18312 18368 19680 20928 20992 21504 22345 22890 22960 24416 26160 26240 26814 26880 27552 27904 30520 31283 31488 34440 34880 35752 35840 36624 36736 39360 41856 41984 44690 45780 45920 48832 52320 52480 53628 53760 55104 55808 61040 62566 62976 67035 68880 69760 71504 73248 73472 78720 83712 89380 91560 91840 93849 97664 104640 104960 107256 107520 110208 111616 122080 125132 125952 134070 137760 139520 143008 146496 146944 156415 157440 167424 178760 183120 183680 187698 195328 209280 209920 214512 220416 244160 250264 268140 275520 279040 286016 292992 293888 312830 314880 334848 357520 366240 367360 375396 390656 418560 429024 440832 469245 488320 500528 536280 551040 558080 572032 585984 625660 629760 715040 732480 734720 750792 781312 837120 858048 881664 938490 976640 1001056 1072560 1102080 1144064 1171968 1251320 1430080 1464960 1469440 1501584 1674240 1716096 1876980 1953280 2002112 2145120 2204160 2288128 2343936 2502640 2860160 2929920 3003168 3432192 3753960 3906560 4004224 4290240 4408320 4576256 5005280 5720320 5859840 6006336 6864384 7507920 8008448 8580480 10010560 11440640 11719680 12012672 13728768 15015840 16016896 17160960 20021120 22881280 24025344 30031680 32033792 34321920 40042240 48050688 60063360 68643840 80084480 96101376 120126720 160168960 240253440 480506880
- Sum of all divisors σ(n): 1815770880
- Sum of proper divisors (its aliquot sum) s(n): 1335264000
- 480506880 is an abundant number, because the sum of its proper divisors (1335264000) is greater than itself. Its abundance is 854757120
Bases of 480506880
- Binary: 111001010001111110100000000002
- Hexadecimal: 0x1CA3F400
- Base-36: 7Y2XHC
Squares and roots of 480506880
- 480506880 squared (4805068802) is 230886861727334400
- 480506880 cubed (4805068803) is 110942725561592863260672000
-
The
square root of 480506880 is 21920.4671483069 -
The
cube root of 480506880 is 783.2490379591
Scales and comparisons
How big is 480506880?- 480,506,880 seconds is equal to 15 years, 14 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 480,506,880 would take you about twenty-two 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 480506880 cubic inches would be around 65.3 feet tall.
Recreational maths with 480506880
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 480506880 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 480506880 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/480506880/
Chicago style:
Numbermatics. 2024. "Number 480506880 - Facts about the integer". https://numbermatics.com/n/480506880/
The information we have on file for 480506880 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 480506880, math, Factors of 480506880, curriculum, school, college, exams, university, Prime factorization of 480506880, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty million, five hundred six thousand, eight hundred eighty.