828023040
828,023,040 is an even composite number composed of six prime numbers multiplied together.
828023040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 828023040:
28 × 33 × 5 × 13 × 19 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 19 × 97)See below for interesting mathematical facts about the number 828023040 from the Numbermatics database.
Names of 828023040
- Cardinal: 828023040 can be written as Eight hundred twenty-eight million, twenty-three thousand and forty.
Scientific notation
- Scientific notation: 8.2802304 × 108
Factors of 828023040
Divisors of 828023040
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 32 36 38 39 40 45 48 52 54 57 60 64 65 72 76 78 80 90 95 96 97 104 108 114 117 120 128 130 135 144 152 156 160 171 180 190 192 194 195 208 216 228 234 240 247 256 260 270 285 288 291 304 312 320 342 351 360 380 384 388 390 416 432 456 468 480 485 494 513 520 540 570 576 582 585 608 624 640 684 702 720 741 760 768 776 780 832 855 864 873 912 936 960 970 988 1026 1040 1080 1140 1152 1164 1170 1216 1235 1248 1261 1280 1368 1404 1440 1455 1482 1520 1552 1560 1664 1710 1728 1746 1755 1824 1843 1872 1920 1940 1976 2052 2080 2160 2223 2280 2304 2328 2340 2432 2470 2496 2522 2565 2619 2736 2808 2880 2910 2964 3040 3104 3120 3328 3420 3456 3492 3510 3648 3686 3705 3744 3783 3840 3880 3952 4104 4160 4320 4365 4446 4560 4656 4680 4864 4940 4992 5044 5130 5238 5472 5529 5616 5760 5820 5928 6080 6208 6240 6305 6669 6840 6912 6984 7020 7296 7372 7410 7488 7566 7760 7904 8208 8320 8640 8730 8892 9120 9215 9312 9360 9880 9984 10088 10260 10476 10944 11058 11115 11232 11349 11520 11640 11856 12160 12416 12480 12610 13095 13338 13680 13968 14040 14592 14744 14820 14976 15132 15520 15808 16416 16587 16640 17280 17460 17784 18240 18430 18624 18720 18915 19760 20176 20520 20952 21888 22116 22230 22464 22698 23280 23712 23959 24320 24832 24960 25220 26190 26676 27360 27645 27936 28080 29488 29640 29952 30264 31040 31616 32832 33174 33345 34047 34560 34920 35568 36480 36860 37248 37440 37830 39520 40352 41040 41904 43776 44232 44460 44928 45396 46560 47424 47918 49761 49920 50440 52380 53352 54720 55290 55872 56160 56745 58976 59280 60528 62080 63232 65664 66348 66690 68094 69840 71136 71877 72960 73720 74496 74880 75660 79040 80704 82080 82935 83808 88464 88920 89856 90792 93120 94848 95836 99522 100880 104760 106704 109440 110580 111744 112320 113490 117952 118560 119795 121056 124160 131328 132696 133380 136188 139680 142272 143754 147440 149760 151320 158080 161408 164160 165870 167616 170235 176928 177840 181584 186240 189696 191672 199044 201760 209520 213408 215631 218880 221160 223488 224640 226980 235904 237120 239590 242112 248805 265392 266760 272376 279360 284544 287508 294880 302640 316160 322816 328320 331740 335232 340470 353856 355680 359385 363168 372480 383344 398088 403520 419040 426816 431262 442320 449280 453960 471808 474240 479180 484224 497610 530784 533520 544752 558720 569088 575016 589760 605280 646893 656640 663480 670464 680940 707712 711360 718770 726336 766688 796176 807040 838080 853632 862524 884640 907920 948480 958360 968448 995220 1061568 1067040 1078155 1089504 1117440 1150032 1179520 1210560 1293786 1326960 1361880 1415424 1422720 1437540 1452672 1533376 1592352 1614080 1676160 1707264 1725048 1769280 1815840 1916720 1990440 2123136 2134080 2156310 2179008 2300064 2359040 2421120 2587572 2653920 2723760 2845440 2875080 2905344 3066752 3184704 3234465 3352320 3450096 3538560 3631680 3833440 3980880 4246272 4268160 4312620 4358016 4600128 4842240 5175144 5307840 5447520 5750160 6133504 6369408 6468930 6900192 7077120 7263360 7666880 7961760 8536320 8625240 8716032 9200256 10350288 10615680 10895040 11500320 12738816 12937860 13800384 14526720 15333760 15923520 17250480 18400512 20700576 21231360 21790080 23000640 25875720 27600768 30667520 31847040 34500960 41401152 43580160 46001280 51751440 55201536 63694080 69001920 82802304 92002560 103502880 138003840 165604608 207005760 276007680 414011520 828023040
- Sum of all divisors σ(n): 3365241600
- Sum of proper divisors (its aliquot sum) s(n): 2537218560
- 828023040 is an abundant number, because the sum of its proper divisors (2537218560) is greater than itself. Its abundance is 1709195520
Bases of 828023040
- Binary: 1100010101101010100001000000002
- Hexadecimal: 0x315AA100
- Base-36: DOZEO0
Squares and roots of 828023040
- 828023040 squared (8280230402) is 685622154770841600
- 828023040 cubed (8280230403) is 567710940884702764990464000
-
The
square root of 828023040 is 28775.3894847663 -
The
cube root of 828023040 is 939.0328970091
Scales and comparisons
How big is 828023040?- 828,023,040 seconds is equal to 26 years, 17 weeks, 14 hours, 24 minutes.
-
To count from 1 to 828,023,040 would take you about thirty-nine 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 828023040 cubic inches would be around 78.3 feet tall.
Recreational maths with 828023040
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 828023040 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 828023040 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/828023040/
Chicago style:
Numbermatics. 2024. "Number 828023040 - Facts about the integer". https://numbermatics.com/n/828023040/
The information we have on file for 828023040 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 828023040, math, Factors of 828023040, curriculum, school, college, exams, university, Prime factorization of 828023040, STEM, science, technology, engineering, physics, economics, calculator, eight hundred twenty-eight million, twenty-three thousand and forty.