42268800
42,268,800 is an even composite number composed of six prime numbers multiplied together.
42268800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42268800:
27 × 3 × 52 × 7 × 17 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 37)See below for interesting mathematical facts about the number 42268800 from the Numbermatics database.
Names of 42268800
- Cardinal: 42268800 can be written as Forty-two million, two hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.22688 × 107
Factors of 42268800
Divisors of 42268800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 37 40 42 48 50 51 56 60 64 68 70 74 75 80 84 85 96 100 102 105 111 112 119 120 128 136 140 148 150 160 168 170 175 185 192 200 204 210 222 224 238 240 255 259 272 280 296 300 320 336 340 350 357 370 384 400 408 420 425 444 448 476 480 510 518 525 544 555 560 592 595 600 629 640 672 680 700 714 740 777 800 816 840 850 888 896 925 952 960 1020 1036 1050 1088 1110 1120 1184 1190 1200 1258 1275 1295 1344 1360 1400 1428 1480 1554 1600 1632 1680 1700 1776 1785 1850 1887 1904 1920 2040 2072 2100 2176 2220 2240 2368 2380 2400 2516 2550 2590 2688 2720 2775 2800 2856 2960 2975 3108 3145 3200 3264 3360 3400 3552 3570 3700 3774 3808 3885 4080 4144 4200 4403 4440 4480 4736 4760 4800 5032 5100 5180 5440 5550 5600 5712 5920 5950 6216 6290 6475 6528 6720 6800 7104 7140 7400 7548 7616 7770 8160 8288 8400 8806 8880 8925 9435 9520 9600 10064 10200 10360 10880 11100 11200 11424 11840 11900 12432 12580 12950 13209 13440 13600 14208 14280 14800 15096 15232 15540 15725 16320 16576 16800 17612 17760 17850 18870 19040 19425 20128 20400 20720 22015 22200 22400 22848 23680 23800 24864 25160 25900 26418 27200 28560 29600 30192 31080 31450 32640 33152 33600 35224 35520 35700 37740 38080 38850 40256 40800 41440 44030 44400 45696 47175 47600 49728 50320 51800 52836 54400 57120 59200 60384 62160 62900 66045 67200 70448 71040 71400 75480 76160 77700 80512 81600 82880 88060 88800 94350 95200 99456 100640 103600 105672 110075 114240 118400 120768 124320 125800 132090 140896 142800 150960 155400 163200 165760 176120 177600 188700 190400 201280 207200 211344 220150 228480 241536 248640 251600 264180 281792 285600 301920 310800 330225 352240 355200 377400 380800 402560 414400 422688 440300 497280 503200 528360 563584 571200 603840 621600 660450 704480 754800 828800 845376 880600 1006400 1056720 1142400 1207680 1243200 1320900 1408960 1509600 1690752 1761200 2012800 2113440 2486400 2641800 2817920 3019200 3522400 4226880 5283600 6038400 7044800 8453760 10567200 14089600 21134400 42268800
- Sum of all divisors σ(n): 173024640
- Sum of proper divisors (its aliquot sum) s(n): 130755840
- 42268800 is an abundant number, because the sum of its proper divisors (130755840) is greater than itself. Its abundance is 88487040
Bases of 42268800
- Binary: 101000010011111000100000002
- Hexadecimal: 0x284F880
- Base-36: P5YTC
Squares and roots of 42268800
- 42268800 squared (422688002) is 1786651453440000
- 42268800 cubed (422688003) is 75519612955164672000000
-
The
square root of 42268800 is 6501.4459930081 -
The
cube root of 42268800 is 348.3426404621
Scales and comparisons
How big is 42268800?- 42,268,800 seconds is equal to 1 year, 17 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 42,268,800 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 42268800 cubic inches would be around 29 feet tall.
Recreational maths with 42268800
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 42268800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 42268800 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/42268800/
Chicago style:
Numbermatics. 2024. "Number 42268800 - Facts about the integer". https://numbermatics.com/n/42268800/
The information we have on file for 42268800 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 42268800, math, Factors of 42268800, curriculum, school, college, exams, university, Prime factorization of 42268800, STEM, science, technology, engineering, physics, economics, calculator, forty-two million, two hundred sixty-eight thousand, eight hundred.