428049600
428,049,600 is an even composite number composed of five prime numbers multiplied together.
428049600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 428049600:
26 × 3 × 52 × 113 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 67)See below for interesting mathematical facts about the number 428049600 from the Numbermatics database.
Names of 428049600
- Cardinal: 428049600 can be written as Four hundred twenty-eight million, forty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 4.280496 × 108
Factors of 428049600
Divisors of 428049600
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 67 75 80 88 96 100 110 120 121 132 134 150 160 165 176 192 200 201 220 240 242 264 268 275 300 320 330 335 352 363 400 402 440 480 484 528 536 550 600 605 660 670 704 726 737 800 804 825 880 960 968 1005 1056 1072 1100 1200 1210 1320 1331 1340 1452 1474 1600 1608 1650 1675 1760 1815 1936 2010 2112 2144 2200 2211 2400 2420 2640 2662 2680 2904 2948 3025 3216 3300 3350 3520 3630 3685 3872 3993 4020 4288 4400 4422 4800 4840 5025 5280 5324 5360 5808 5896 6050 6432 6600 6655 6700 7260 7370 7744 7986 8040 8107 8800 8844 9075 9680 10050 10560 10648 10720 11055 11616 11792 12100 12864 13200 13310 13400 14520 14740 15972 16080 16214 17600 17688 18150 18425 19360 19965 20100 21296 21440 22110 23232 23584 24200 24321 26400 26620 26800 29040 29480 31944 32160 32428 33275 35376 36300 36850 38720 39930 40200 40535 42592 44220 47168 48400 48642 52800 53240 53600 55275 58080 58960 63888 64320 64856 66550 70752 72600 73700 79860 80400 81070 85184 88440 89177 96800 97284 99825 106480 107200 110550 116160 117920 121605 127776 129712 133100 141504 145200 147400 159720 160800 162140 176880 178354 193600 194568 199650 202675 212960 221100 235840 243210 255552 259424 266200 267531 290400 294800 319440 321600 324280 353760 356708 389136 399300 405350 425920 442200 445885 486420 518848 532400 535062 580800 589600 608025 638880 648560 707520 713416 778272 798600 810700 884400 891770 972840 1064800 1070124 1179200 1216050 1277760 1297120 1337655 1426832 1556544 1597200 1621400 1768800 1783540 1945680 2129600 2140248 2229425 2432100 2594240 2675310 2853664 3194400 3242800 3537600 3567080 3891360 4280496 4458850 4864200 5350620 5707328 6388800 6485600 6688275 7134160 7782720 8560992 8917700 9728400 10701240 12971200 13376550 14268320 17121984 17835400 19456800 21402480 26753100 28536640 35670800 38913600 42804960 53506200 71341600 85609920 107012400 142683200 214024800 428049600
- Sum of all divisors σ(n): 1567744896
- Sum of proper divisors (its aliquot sum) s(n): 1139695296
- 428049600 is an abundant number, because the sum of its proper divisors (1139695296) is greater than itself. Its abundance is 711645696
Bases of 428049600
- Binary: 110011000001110000100110000002
- Hexadecimal: 0x198384C0
- Base-36: 72UL6O
Squares and roots of 428049600
- 428049600 squared (4280496002) is 183226460060160000
- 428049600 cubed (4280496003) is 78430012938167463936000000
-
The
square root of 428049600 is 20689.3595840953 -
The
cube root of 428049600 is 753.6413147143
Scales and comparisons
How big is 428049600?- 428,049,600 seconds is equal to 13 years, 31 weeks, 5 days, 6 hours, 40 minutes.
-
To count from 1 to 428,049,600 would take you about twenty 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 428049600 cubic inches would be around 62.8 feet tall.
Recreational maths with 428049600
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 428049600 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 428049600 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/428049600/
Chicago style:
Numbermatics. 2024. "Number 428049600 - Facts about the integer". https://numbermatics.com/n/428049600/
The information we have on file for 428049600 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 428049600, math, Factors of 428049600, curriculum, school, college, exams, university, Prime factorization of 428049600, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight million, forty-nine thousand, six hundred.