42768000
42,768,000 is an even composite number composed of four prime numbers multiplied together.
42768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42768000:
27 × 35 × 53 × 11
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11)See below for interesting mathematical facts about the number 42768000 from the Numbermatics database.
Names of 42768000
- Cardinal: 42768000 can be written as Forty-two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2768 × 107
Factors of 42768000
Divisors of 42768000
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 243 250 264 270 275 288 297 300 320 324 330 352 360 375 384 396 400 405 432 440 450 480 486 495 500 528 540 550 576 594 600 640 648 660 675 704 720 750 792 800 810 825 864 880 891 900 960 972 990 1000 1056 1080 1100 1125 1152 1188 1200 1215 1296 1320 1350 1375 1408 1440 1485 1500 1584 1600 1620 1650 1728 1760 1782 1800 1920 1944 1980 2000 2025 2112 2160 2200 2250 2376 2400 2430 2475 2592 2640 2673 2700 2750 2880 2970 3000 3168 3200 3240 3300 3375 3456 3520 3564 3600 3888 3960 4000 4050 4125 4224 4320 4400 4455 4500 4752 4800 4860 4950 5184 5280 5346 5400 5500 5760 5940 6000 6075 6336 6480 6600 6750 7040 7128 7200 7425 7776 7920 8000 8100 8250 8640 8800 8910 9000 9504 9600 9720 9900 10125 10368 10560 10692 10800 11000 11880 12000 12150 12375 12672 12960 13200 13365 13500 14256 14400 14850 15552 15840 16000 16200 16500 17280 17600 17820 18000 19008 19440 19800 20250 21120 21384 21600 22000 22275 23760 24000 24300 24750 25920 26400 26730 27000 28512 28800 29700 30375 31104 31680 32400 33000 35200 35640 36000 37125 38016 38880 39600 40500 42768 43200 44000 44550 47520 48000 48600 49500 51840 52800 53460 54000 57024 59400 60750 63360 64800 66000 66825 71280 72000 74250 77760 79200 81000 85536 86400 88000 89100 95040 97200 99000 105600 106920 108000 111375 114048 118800 121500 129600 132000 133650 142560 144000 148500 155520 158400 162000 171072 176000 178200 190080 194400 198000 213840 216000 222750 237600 243000 259200 264000 267300 285120 297000 316800 324000 334125 342144 356400 388800 396000 427680 432000 445500 475200 486000 528000 534600 570240 594000 648000 668250 712800 777600 792000 855360 891000 950400 972000 1069200 1188000 1296000 1336500 1425600 1584000 1710720 1782000 1944000 2138400 2376000 2673000 2851200 3564000 3888000 4276800 4752000 5346000 7128000 8553600 10692000 14256000 21384000 42768000
- Sum of all divisors σ(n): 173759040
- Sum of proper divisors (its aliquot sum) s(n): 130991040
- 42768000 is an abundant number, because the sum of its proper divisors (130991040) is greater than itself. Its abundance is 88223040
Bases of 42768000
- Binary: 101000110010010110100000002
- Hexadecimal: 0x28C9680
- Base-36: PGO00
Squares and roots of 42768000
- 42768000 squared (427680002) is 1829101824000000
- 42768000 cubed (427680003) is 78227026808832000000000
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The
square root of 42768000 is 6539.7247648505 -
The
cube root of 42768000 is 349.7086009951
Scales and comparisons
How big is 42768000?- 42,768,000 seconds is equal to 1 year, 18 weeks, 5 days.
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To count from 1 to 42,768,000 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 42768000 cubic inches would be around 29.1 feet tall.
Recreational maths with 42768000
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The information we have on file for 42768000 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!
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