768049920
768,049,920 is an even composite number composed of six prime numbers multiplied together.
768049920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 768049920:
28 × 32 × 5 × 112 × 19 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 19 × 29)See below for interesting mathematical facts about the number 768049920 from the Numbermatics database.
Names of 768049920
- Cardinal: 768049920 can be written as Seven hundred sixty-eight million, forty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 7.6804992 × 108
Factors of 768049920
Divisors of 768049920
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 29 30 32 33 36 38 40 44 45 48 55 57 58 60 64 66 72 76 80 87 88 90 95 96 99 110 114 116 120 121 128 132 144 145 152 160 165 171 174 176 180 190 192 198 209 220 228 232 240 242 256 261 264 285 288 290 304 319 320 330 342 348 352 360 363 380 384 396 418 435 440 456 464 480 484 495 522 528 551 570 576 580 605 608 627 638 640 660 684 696 704 720 726 760 768 792 836 855 870 880 912 928 957 960 968 990 1044 1045 1056 1089 1102 1140 1152 1160 1210 1216 1254 1276 1280 1305 1320 1368 1392 1408 1440 1452 1520 1584 1595 1653 1672 1710 1740 1760 1815 1824 1856 1881 1914 1920 1936 1980 2088 2090 2112 2178 2204 2280 2299 2304 2320 2420 2432 2508 2552 2610 2640 2736 2755 2784 2816 2871 2880 2904 3040 3135 3168 3190 3306 3344 3420 3480 3509 3520 3630 3648 3712 3762 3828 3840 3872 3960 4176 4180 4224 4356 4408 4560 4598 4640 4785 4840 4864 4959 5016 5104 5220 5280 5445 5472 5510 5568 5742 5760 5808 6061 6080 6270 6336 6380 6612 6688 6840 6897 6960 7018 7040 7260 7296 7424 7524 7656 7744 7920 8265 8352 8360 8448 8712 8816 9120 9196 9280 9405 9570 9680 9918 10032 10208 10440 10527 10560 10890 10944 11020 11136 11484 11495 11520 11616 12122 12160 12540 12672 12760 13224 13376 13680 13794 13920 14036 14080 14355 14520 14592 15048 15312 15488 15840 16530 16704 16720 17424 17545 17632 18183 18240 18392 18560 18810 19140 19360 19836 20064 20416 20691 20880 21054 21120 21780 21888 22040 22272 22968 22990 23232 24244 24320 24795 25080 25344 25520 26448 26752 27360 27588 27840 28072 28710 29040 30096 30305 30624 30976 31581 31680 33060 33408 33440 34485 34848 35090 35264 36366 36480 36784 37120 37620 38280 38720 39672 40128 40832 41382 41760 42108 42240 43560 43776 44080 45936 45980 46464 48488 49590 50160 51040 52635 52896 53504 54549 54720 55176 55680 56144 57420 58080 60192 60610 61248 63162 63360 66120 66671 66816 66880 68970 69696 70180 70528 72732 72960 73568 75240 76560 77440 79344 80256 81664 82764 83520 84216 87120 88160 90915 91872 91960 92928 96976 99180 100320 102080 103455 105270 105792 109098 109440 110352 111360 112288 114840 116160 120384 121220 122496 126324 126720 132240 133342 133760 137940 139392 140360 141056 145464 147136 150480 153120 154880 157905 158688 160512 165528 167040 168432 174240 176320 181830 183744 183920 193952 198360 200013 200640 204160 206910 210540 211584 218196 218880 220704 224576 229680 232320 240768 242440 244992 252648 264480 266684 267520 272745 275880 278784 280720 290928 294272 300960 306240 315810 317376 331056 333355 334080 336864 348480 352640 363660 367488 367840 387904 396720 400026 401280 408320 413820 421080 423168 436392 441408 449152 459360 464640 481536 484880 505296 528960 533368 545490 551760 561440 581856 588544 600039 601920 612480 631620 634752 662112 666710 673728 696960 705280 727320 734976 735680 775808 793440 800052 802560 827640 842160 872784 882816 898304 918720 969760 1000065 1010592 1057920 1066736 1090980 1103520 1122880 1163712 1200078 1203840 1224960 1263240 1269504 1324224 1333420 1347456 1393920 1454640 1471360 1551616 1586880 1600104 1655280 1684320 1745568 1765632 1837440 1939520 2000130 2021184 2115840 2133472 2181960 2207040 2245760 2327424 2400156 2407680 2526480 2648448 2666840 2694912 2909280 2942720 3000195 3173760 3200208 3310560 3368640 3491136 3674880 3879040 4000260 4042368 4266944 4363920 4414080 4491520 4654848 4800312 5052960 5296896 5333680 5818560 6000390 6347520 6400416 6621120 6737280 6982272 7758080 8000520 8084736 8533888 8727840 8828160 9600624 10105920 10667360 11637120 12000780 12800832 13242240 13474560 13964544 16001040 17067776 17455680 19201248 20211840 21334720 23274240 24001560 25601664 26484480 32002080 34911360 38402496 40423680 42669440 48003120 51203328 64004160 69822720 76804992 85338880 96006240 128008320 153609984 192012480 256016640 384024960 768049920
- Sum of all divisors σ(n): 3180668400
- Sum of proper divisors (its aliquot sum) s(n): 2412618480
- 768049920 is an abundant number, because the sum of its proper divisors (2412618480) is greater than itself. Its abundance is 1644568560
Bases of 768049920
- Binary: 1011011100011110000011000000002
- Hexadecimal: 0x2DC78300
- Base-36: CP9Z40
Squares and roots of 768049920
- 768049920 squared (7680499202) is 589900679612006400
- 768049920 cubed (7680499203) is 453073169783947146559488000
-
The
square root of 768049920 is 27713.7135728867 -
The
cube root of 768049920 is 915.7912353263
Scales and comparisons
How big is 768049920?- 768,049,920 seconds is equal to 24 years, 21 weeks, 6 days, 11 hours, 12 minutes.
-
To count from 1 to 768,049,920 would take you about thirty-six 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 768049920 cubic inches would be around 76.3 feet tall.
Recreational maths with 768049920
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 768049920 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 768049920 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/768049920/
Chicago style:
Numbermatics. 2024. "Number 768049920 - Facts about the integer". https://numbermatics.com/n/768049920/
The information we have on file for 768049920 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 768049920, math, Factors of 768049920, curriculum, school, college, exams, university, Prime factorization of 768049920, STEM, science, technology, engineering, physics, economics, calculator, seven hundred sixty-eight million, forty-nine thousand, nine hundred twenty.