48528480
48,528,480 is an even composite number composed of seven prime numbers multiplied together.
48528480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 48528480:
25 × 3 × 5 × 7 × 11 × 13 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 13 × 101)See below for interesting mathematical facts about the number 48528480 from the Numbermatics database.
Names of 48528480
- Cardinal: 48528480 can be written as Forty-eight million, five hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.852848 × 107
Factors of 48528480
Divisors of 48528480
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 26 28 30 32 33 35 39 40 42 44 48 52 55 56 60 65 66 70 77 78 80 84 88 91 96 101 104 105 110 112 120 130 132 140 143 154 156 160 165 168 176 182 195 202 208 210 220 224 231 240 260 264 273 280 286 303 308 312 330 336 352 364 385 390 404 416 420 429 440 455 462 480 505 520 528 546 560 572 606 616 624 660 672 707 715 728 770 780 808 840 858 880 910 924 1001 1010 1040 1056 1092 1111 1120 1144 1155 1212 1232 1248 1313 1320 1365 1414 1430 1456 1515 1540 1560 1616 1680 1716 1760 1820 1848 2002 2020 2080 2121 2145 2184 2222 2288 2310 2424 2464 2626 2640 2730 2828 2860 2912 3003 3030 3080 3120 3232 3333 3360 3432 3535 3640 3696 3939 4004 4040 4242 4290 4368 4444 4576 4620 4848 5005 5252 5280 5460 5555 5656 5720 6006 6060 6160 6240 6565 6666 6864 7070 7280 7392 7777 7878 8008 8080 8484 8580 8736 8888 9191 9240 9696 10010 10504 10605 10920 11110 11312 11440 12012 12120 12320 13130 13332 13728 14140 14443 14560 15015 15554 15756 16016 16160 16665 16968 17160 17776 18382 18480 19695 20020 21008 21210 21840 22220 22624 22880 23331 24024 24240 26260 26664 27573 28280 28886 30030 31108 31512 32032 33330 33936 34320 35552 36764 36960 38885 39390 40040 42016 42420 43329 43680 44440 45955 46662 48048 48480 52520 53328 55146 56560 57772 60060 62216 63024 66660 67872 68640 72215 73528 77770 78780 80080 84840 86658 88880 91910 93324 96096 101101 105040 106656 110292 113120 115544 116655 120120 124432 126048 133320 137865 144430 147056 155540 157560 160160 169680 173316 177760 183820 186648 202202 210080 216645 220584 231088 233310 240240 248864 266640 275730 288860 294112 303303 311080 315120 339360 346632 367640 373296 404404 433290 441168 462176 466620 480480 505505 533280 551460 577720 606606 622160 630240 693264 735280 746592 808808 866580 882336 933240 1011010 1102920 1155440 1213212 1244320 1386528 1470560 1516515 1617616 1733160 1866480 2022020 2205840 2310880 2426424 3033030 3235232 3466320 3732960 4044040 4411680 4852848 6066060 6932640 8088080 9705696 12132120 16176160 24264240 48528480
- Sum of all divisors σ(n): 207277056
- Sum of proper divisors (its aliquot sum) s(n): 158748576
- 48528480 is an abundant number, because the sum of its proper divisors (158748576) is greater than itself. Its abundance is 110220096
Bases of 48528480
- Binary: 101110010001111100011000002
- Hexadecimal: 0x2E47C60
- Base-36: SW4TC
Squares and roots of 48528480
- 48528480 squared (485284802) is 2355013371110400
- 48528480 cubed (485284803) is 114285219279663624192000
-
The
square root of 48528480 is 6966.2385833389 -
The
cube root of 48528480 is 364.7530198811
Scales and comparisons
How big is 48528480?- 48,528,480 seconds is equal to 1 year, 28 weeks, 1 day, 16 hours, 8 minutes.
-
To count from 1 to 48,528,480 would take you about 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 48528480 cubic inches would be around 30.4 feet tall.
Recreational maths with 48528480
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 48528480 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 48528480 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/48528480/
Chicago style:
Numbermatics. 2024. "Number 48528480 - Facts about the integer". https://numbermatics.com/n/48528480/
The information we have on file for 48528480 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 48528480, math, Factors of 48528480, curriculum, school, college, exams, university, Prime factorization of 48528480, STEM, science, technology, engineering, physics, economics, calculator, forty-eight million, five hundred twenty-eight thousand, four hundred eighty.