42728400
42,728,400 is an even composite number composed of six prime numbers multiplied together.
42728400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42728400:
24 × 32 × 52 × 11 × 13 × 83
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 13 × 83)See below for interesting mathematical facts about the number 42728400 from the Numbermatics database.
Names of 42728400
- Cardinal: 42728400 can be written as Forty-two million, seven hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.27284 × 107
Factors of 42728400
Divisors of 42728400
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 33 36 39 40 44 45 48 50 52 55 60 65 66 72 75 78 80 83 88 90 99 100 104 110 117 120 130 132 143 144 150 156 165 166 176 180 195 198 200 208 220 225 234 240 249 260 264 275 286 300 312 325 330 332 360 390 396 400 415 429 440 450 468 495 498 520 528 550 572 585 600 624 650 660 664 715 720 747 780 792 825 830 858 880 900 913 936 975 990 996 1040 1079 1100 1144 1170 1200 1245 1287 1300 1320 1328 1430 1494 1560 1584 1650 1660 1716 1800 1826 1872 1950 1980 1992 2075 2145 2158 2200 2288 2340 2475 2490 2574 2600 2640 2739 2860 2925 2988 3120 3237 3300 3320 3432 3575 3600 3652 3735 3900 3960 3984 4150 4290 4316 4400 4565 4680 4950 4980 5148 5200 5395 5478 5720 5850 5976 6225 6435 6474 6600 6640 6864 7150 7304 7470 7800 7920 8217 8300 8580 8632 9130 9360 9711 9900 9960 10296 10725 10790 10956 11440 11700 11869 11952 12450 12870 12948 13200 13695 14300 14608 14940 15600 16185 16434 16600 17160 17264 18260 18675 19422 19800 19920 20592 21450 21580 21912 22825 23400 23738 24900 25740 25896 26975 27390 28600 29880 32175 32370 32868 33200 34320 35607 36520 37350 38844 39600 41085 42900 43160 43824 45650 46800 47476 48555 49800 51480 51792 53950 54780 57200 59345 59760 64350 64740 65736 68475 71214 73040 74700 77688 80925 82170 85800 86320 91300 94952 97110 99600 102960 106821 107900 109560 118690 128700 129480 131472 136950 142428 149400 155376 161850 164340 171600 178035 182600 189904 194220 205425 213642 215800 219120 237380 242775 257400 258960 273900 284856 296725 298800 323700 328680 356070 365200 388440 410850 427284 431600 474760 485550 514800 534105 547800 569712 593450 647400 657360 712140 776880 821700 854568 890175 949520 971100 1068210 1095600 1186900 1294800 1424280 1643400 1709136 1780350 1942200 2136420 2373800 2670525 2848560 3286800 3560700 3884400 4272840 4747600 5341050 7121400 8545680 10682100 14242800 21364200 42728400
- Sum of all divisors σ(n): 176301216
- Sum of proper divisors (its aliquot sum) s(n): 133572816
- 42728400 is an abundant number, because the sum of its proper divisors (133572816) is greater than itself. Its abundance is 90844416
Bases of 42728400
- Binary: 101000101111111011110100002
- Hexadecimal: 0x28BFBD0
- Base-36: PFTG0
Squares and roots of 42728400
- 42728400 squared (427284002) is 1825716166560000
- 42728400 cubed (427284003) is 78009930651242304000000
-
The
square root of 42728400 is 6536.6964133269 -
The
cube root of 42728400 is 349.6006329113
Scales and comparisons
How big is 42728400?- 42,728,400 seconds is equal to 1 year, 18 weeks, 4 days, 13 hours.
-
To count from 1 to 42,728,400 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 42728400 cubic inches would be around 29.1 feet tall.
Recreational maths with 42728400
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 42728400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 November 2024.
APA style:
Numbermatics. (2024). Number 42728400 - Facts about the integer. Retrieved 13 November 2024, from https://numbermatics.com/n/42728400/
Chicago style:
Numbermatics. 2024. "Number 42728400 - Facts about the integer". https://numbermatics.com/n/42728400/
The information we have on file for 42728400 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 42728400, math, Factors of 42728400, curriculum, school, college, exams, university, Prime factorization of 42728400, STEM, science, technology, engineering, physics, economics, calculator, forty-two million, seven hundred twenty-eight thousand, four hundred.