972528480
972,528,480 is an even composite number composed of six prime numbers multiplied together.
972528480 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 972528480:
25 × 32 × 5 × 73 × 11 × 179
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 11 × 179)See below for interesting mathematical facts about the number 972528480 from the Numbermatics database.
Names of 972528480
- Cardinal: 972528480 can be written as Nine hundred seventy-two million, five hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 9.7252848 × 108
Factors of 972528480
Divisors of 972528480
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 40 42 44 45 48 49 55 56 60 63 66 70 72 77 80 84 88 90 96 98 99 105 110 112 120 126 132 140 144 147 154 160 165 168 176 179 180 196 198 210 220 224 231 240 245 252 264 280 288 294 308 315 330 336 343 352 358 360 385 392 396 420 440 441 462 480 490 495 504 528 537 539 560 588 616 630 660 672 686 693 716 720 735 770 784 792 840 880 882 895 924 980 990 1008 1029 1056 1074 1078 1120 1155 1176 1232 1253 1260 1320 1372 1386 1432 1440 1470 1540 1568 1584 1611 1617 1680 1715 1760 1764 1790 1848 1960 1969 1980 2016 2058 2148 2156 2205 2310 2352 2464 2506 2520 2640 2685 2695 2744 2772 2864 2940 3080 3087 3168 3222 3234 3360 3430 3465 3528 3580 3696 3759 3773 3920 3938 3960 4116 4296 4312 4410 4620 4704 4851 5012 5040 5145 5280 5370 5390 5488 5544 5728 5880 5907 6160 6174 6265 6444 6468 6860 6930 7056 7160 7392 7518 7546 7840 7876 7920 8055 8085 8232 8592 8624 8771 8820 9240 9702 9845 10024 10080 10290 10740 10780 10976 11088 11277 11319 11760 11814 12320 12348 12530 12888 12936 13720 13783 13860 14112 14320 15036 15092 15435 15752 15840 16110 16170 16464 17184 17248 17542 17640 17721 18480 18795 18865 19404 19690 20048 20580 21480 21560 22176 22554 22638 23520 23628 24255 24696 25060 25776 25872 26313 27440 27566 27720 28640 29535 30072 30184 30870 31504 32220 32340 32928 33957 35084 35280 35442 36960 37590 37730 38808 39380 40096 41160 41349 42960 43120 43855 45108 45276 47256 48510 49392 50120 51552 51744 52626 54880 55132 55440 56385 56595 59070 60144 60368 61397 61740 63008 64440 64680 67914 68915 70168 70560 70884 75180 75460 77616 78760 78939 82320 82698 85920 86240 87710 88605 90216 90552 94512 96481 97020 98784 100240 105252 110264 110880 112770 113190 118140 120288 120736 122794 123480 124047 128880 129360 131565 135828 137830 140336 141768 150360 150920 155232 157520 157878 164640 165396 169785 175420 177210 180432 181104 184191 189024 192962 194040 200480 206745 210504 220528 225540 226380 236280 245588 246960 248094 257760 258720 263130 271656 275660 280672 283536 289443 300720 301840 306985 315040 315756 330792 339570 350840 354420 360864 362208 368382 385924 388080 394695 413490 421008 441056 451080 452760 472560 482405 491176 493920 496188 526260 543312 551320 552573 567072 578886 601440 603680 613970 620235 631512 661584 675367 679140 701680 708840 736764 771848 776160 789390 826980 842016 868329 902160 905520 920955 945120 964810 982352 992376 1052520 1086624 1102640 1105146 1157772 1227940 1240470 1263024 1323168 1350734 1358280 1403360 1417680 1447215 1473528 1543696 1578780 1653960 1736658 1804320 1811040 1841910 1929620 1964704 1984752 2026101 2105040 2205280 2210292 2315544 2455880 2480940 2526048 2701468 2716560 2762865 2835360 2894430 2947056 3087392 3157560 3307920 3376835 3473316 3683820 3859240 3969504 4052202 4210080 4341645 4420584 4631088 4911760 4961880 5402936 5433120 5525730 5788860 5894112 6078303 6315120 6615840 6753670 6946632 7367640 7718480 8104404 8683290 8841168 9262176 9823520 9923760 10130505 10805872 11051460 11577720 12156606 12630240 13507340 13893264 14735280 15436960 16208808 17366580 17682336 19847520 20261010 21611744 22102920 23155440 24313212 27014680 27786528 29470560 30391515 32417616 34733160 40522020 44205840 46310880 48626424 54029360 60783030 64835232 69466320 81044040 88411680 97252848 108058720 121566060 138932640 162088080 194505696 243132120 324176160 486264240 972528480
- Sum of all divisors σ(n): 4245696000
- Sum of proper divisors (its aliquot sum) s(n): 3273167520
- 972528480 is an abundant number, because the sum of its proper divisors (3273167520) is greater than itself. Its abundance is 2300639040
Bases of 972528480
- Binary: 1110011111011110011011011000002
- Hexadecimal: 0x39F79B60
- Base-36: G30NS0
Squares and roots of 972528480
- 972528480 squared (9725284802) is 945811644411110400
- 972528480 cubed (9725284803) is 919828760905437692424192000
-
The
square root of 972528480 is 31185.3888864641 -
The
cube root of 972528480 is 990.7576691491
Scales and comparisons
How big is 972528480?- 972,528,480 seconds is equal to 30 years, 48 weeks, 2 hours, 48 minutes.
-
To count from 1 to 972,528,480 would take you about forty-six 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 972528480 cubic inches would be around 82.6 feet tall.
Recreational maths with 972528480
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 972528480 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 972528480 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/972528480/
Chicago style:
Numbermatics. 2024. "Number 972528480 - Facts about the integer". https://numbermatics.com/n/972528480/
The information we have on file for 972528480 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 972528480, math, Factors of 972528480, curriculum, school, college, exams, university, Prime factorization of 972528480, STEM, science, technology, engineering, physics, economics, calculator, nine hundred seventy-two million, five hundred twenty-eight thousand, four hundred eighty.