47428920
47,428,920 is an even composite number composed of seven prime numbers multiplied together.
47428920 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 47428920:
23 × 32 × 5 × 7 × 11 × 29 × 59
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 29 × 59)See below for interesting mathematical facts about the number 47428920 from the Numbermatics database.
Names of 47428920
- Cardinal: 47428920 can be written as Forty-seven million, four hundred twenty-eight thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.742892 × 107
Factors of 47428920
Divisors of 47428920
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 28 29 30 33 35 36 40 42 44 45 55 56 58 59 60 63 66 70 72 77 84 87 88 90 99 105 110 116 118 120 126 132 140 145 154 165 168 174 177 180 198 203 210 220 231 232 236 252 261 264 280 290 295 308 315 319 330 348 354 360 385 396 406 413 420 435 440 462 472 495 504 522 531 580 590 609 616 630 638 649 660 693 696 708 770 792 812 826 840 870 885 924 957 990 1015 1044 1062 1155 1160 1180 1218 1239 1260 1276 1298 1305 1320 1386 1416 1540 1595 1624 1652 1711 1740 1770 1827 1848 1914 1947 1980 2030 2065 2088 2124 2233 2310 2360 2436 2478 2520 2552 2596 2610 2655 2772 2871 3045 3080 3190 3245 3304 3422 3465 3480 3540 3654 3717 3828 3894 3960 4060 4130 4248 4466 4543 4620 4785 4872 4956 5133 5192 5220 5310 5544 5742 5841 6090 6195 6380 6490 6699 6844 6930 7080 7308 7434 7656 7788 8120 8260 8555 8932 9086 9135 9240 9570 9735 9912 10266 10440 10620 11165 11484 11682 11977 12180 12390 12760 12980 13398 13629 13688 13860 14355 14616 14868 15399 15576 16520 17110 17864 18172 18270 18585 18821 19140 19470 20097 20532 21240 22330 22715 22968 23364 23954 24360 24780 25665 25960 26796 27258 27720 28710 29205 29736 30798 33495 34220 35931 36344 36540 37170 37642 38280 38940 40194 40887 41064 44660 45430 46728 47908 49560 51330 53592 54516 56463 57420 58410 59885 61596 66990 68145 68440 71862 73080 74340 75284 76995 77880 80388 81774 89320 90860 94105 95816 100485 102660 107793 109032 112926 114840 116820 119770 123192 131747 133980 136290 143724 148680 150568 153990 160776 163548 169389 179655 181720 188210 200970 204435 205320 215586 225852 233640 239540 263494 267960 272580 282315 287448 307980 327096 338778 359310 376420 395241 401940 408870 431172 451704 479080 526988 538965 545160 564630 615960 658735 677556 718620 752840 790482 803880 817740 846945 862344 1053976 1077930 1129260 1185723 1317470 1355112 1437240 1580964 1635480 1693890 1976205 2155860 2258520 2371446 2634940 3161928 3387780 3952410 4311720 4742892 5269880 5928615 6775560 7904820 9485784 11857230 15809640 23714460 47428920
- Sum of all divisors σ(n): 202176000
- Sum of proper divisors (its aliquot sum) s(n): 154747080
- 47428920 is an abundant number, because the sum of its proper divisors (154747080) is greater than itself. Its abundance is 107318160
Bases of 47428920
- Binary: 101101001110110101001110002
- Hexadecimal: 0x2D3B538
- Base-36: S8KE0
Squares and roots of 47428920
- 47428920 squared (474289202) is 2249502452366400
- 47428920 cubed (474289203) is 106691471853089796288000
-
The
square root of 47428920 is 6886.8657602715 -
The
cube root of 47428920 is 361.9770851261
Scales and comparisons
How big is 47428920?- 47,428,920 seconds is equal to 1 year, 26 weeks, 2 days, 22 hours, 42 minutes.
-
To count from 1 to 47,428,920 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 47428920 cubic inches would be around 30.2 feet tall.
Recreational maths with 47428920
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 47428920 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 47428920 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/47428920/
Chicago style:
Numbermatics. 2024. "Number 47428920 - Facts about the integer". https://numbermatics.com/n/47428920/
The information we have on file for 47428920 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 47428920, math, Factors of 47428920, curriculum, school, college, exams, university, Prime factorization of 47428920, STEM, science, technology, engineering, physics, economics, calculator, forty-seven million, four hundred twenty-eight thousand, nine hundred twenty.