48132480
48,132,480 is an even composite number composed of six prime numbers multiplied together.
48132480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 48132480:
27 × 3 × 5 × 11 × 43 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 43 × 53)See below for interesting mathematical facts about the number 48132480 from the Numbermatics database.
Names of 48132480
- Cardinal: 48132480 can be written as Forty-eight million, one hundred thirty-two thousand, four hundred eighty.
Scientific notation
- Scientific notation: 4.813248 × 107
Factors of 48132480
Divisors of 48132480
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 43 44 48 53 55 60 64 66 80 86 88 96 106 110 120 128 129 132 159 160 165 172 176 192 212 215 220 240 258 264 265 318 320 330 344 352 384 424 430 440 473 480 516 528 530 583 636 640 645 660 688 704 795 848 860 880 946 960 1032 1056 1060 1166 1272 1290 1320 1376 1408 1419 1590 1696 1720 1749 1760 1892 1920 2064 2112 2120 2279 2332 2365 2544 2580 2640 2752 2838 2915 3180 3392 3440 3498 3520 3784 4128 4224 4240 4558 4664 4730 5088 5160 5280 5504 5676 5830 6360 6784 6837 6880 6996 7040 7095 7568 8256 8480 8745 9116 9328 9460 10176 10320 10560 11352 11395 11660 12720 13674 13760 13992 14190 15136 16512 16960 17490 18232 18656 18920 20352 20640 21120 22704 22790 23320 25069 25440 27348 27520 27984 28380 30272 33920 34185 34980 36464 37312 37840 41280 45408 45580 46640 50138 50880 54696 55968 56760 60544 68370 69960 72928 74624 75207 75680 82560 90816 91160 93280 100276 101760 109392 111936 113520 125345 136740 139920 145856 150414 151360 181632 182320 186560 200552 218784 223872 227040 250690 273480 279840 291712 300828 302720 364640 373120 376035 401104 437568 454080 501380 546960 559680 601656 729280 752070 802208 875136 908160 1002760 1093920 1119360 1203312 1458560 1504140 1604416 2005520 2187840 2406624 3008280 3208832 4011040 4375680 4813248 6016560 8022080 9626496 12033120 16044160 24066240 48132480
- Sum of all divisors σ(n): 174493440
- Sum of proper divisors (its aliquot sum) s(n): 126360960
- 48132480 is an abundant number, because the sum of its proper divisors (126360960) is greater than itself. Its abundance is 78228480
Bases of 48132480
- Binary: 101101111001110001100000002
- Hexadecimal: 0x2DE7180
- Base-36: SNN9C
Squares and roots of 48132480
- 48132480 squared (481324802) is 2316735630950400
- 48132480 cubed (481324803) is 111510231422007508992000
-
The
square root of 48132480 is 6937.7575627865 -
The
cube root of 48132480 is 363.7581616241
Scales and comparisons
How big is 48132480?- 48,132,480 seconds is equal to 1 year, 27 weeks, 4 days, 2 hours, 8 minutes.
-
To count from 1 to 48,132,480 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 48132480 cubic inches would be around 30.3 feet tall.
Recreational maths with 48132480
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 48132480 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 48132480 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/48132480/
Chicago style:
Numbermatics. 2024. "Number 48132480 - Facts about the integer". https://numbermatics.com/n/48132480/
The information we have on file for 48132480 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 48132480, math, Factors of 48132480, curriculum, school, college, exams, university, Prime factorization of 48132480, STEM, science, technology, engineering, physics, economics, calculator, forty-eight million, one hundred thirty-two thousand, four hundred eighty.