73728864
73,728,864 is an even composite number composed of five prime numbers multiplied together.
73728864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 73728864:
25 × 32 × 11 × 17 × 372
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 37 × 37)See below for interesting mathematical facts about the number 73728864 from the Numbermatics database.
Names of 73728864
- Cardinal: 73728864 can be written as Seventy-three million, seven hundred twenty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 7.3728864 × 107
Factors of 73728864
Divisors of 73728864
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 37 44 48 51 66 68 72 74 88 96 99 102 111 132 136 144 148 153 176 187 198 204 222 264 272 288 296 306 333 352 374 396 407 408 444 528 544 561 592 612 629 666 748 792 814 816 888 1056 1122 1184 1221 1224 1258 1332 1369 1496 1584 1628 1632 1683 1776 1887 2244 2442 2448 2516 2664 2738 2992 3168 3256 3366 3552 3663 3774 4107 4488 4884 4896 5032 5328 5476 5661 5984 6512 6732 6919 7326 7548 8214 8976 9768 10064 10656 10952 11322 12321 13024 13464 13838 14652 15059 15096 16428 17952 19536 20128 20757 21904 22644 23273 24642 26928 27676 29304 30118 30192 32856 39072 41514 43808 45177 45288 46546 49284 53856 55352 58608 60236 60384 62271 65712 69819 83028 90354 90576 93092 98568 110704 117216 120472 124542 131424 135531 139638 166056 180708 181152 186184 197136 209457 221408 240944 249084 256003 271062 279276 332112 361416 372368 394272 418914 481888 498168 512006 542124 558552 664224 722832 744736 768009 837828 996336 1024012 1084248 1117104 1445664 1536018 1675656 1992672 2048024 2168496 2234208 2304027 3072036 3351312 4096048 4336992 4608054 6144072 6702624 8192096 9216108 12288144 18432216 24576288 36864432 73728864
- Sum of all divisors σ(n): 248903928
- Sum of proper divisors (its aliquot sum) s(n): 175175064
- 73728864 is an abundant number, because the sum of its proper divisors (175175064) is greater than itself. Its abundance is 101446200
Bases of 73728864
- Binary: 1000110010100000011011000002
- Hexadecimal: 0x4650360
- Base-36: 17W9K0
Squares and roots of 73728864
- 73728864 squared (737288642) is 5435945386730496
- 73728864 cubed (737288643) is 400786078129680144236544
-
The
square root of 73728864 is 8586.5513449811 -
The
cube root of 73728864 is 419.3202610303
Scales and comparisons
How big is 73728864?- 73,728,864 seconds is equal to 2 years, 17 weeks, 6 days, 8 hours, 14 minutes, 24 seconds.
-
To count from 1 to 73,728,864 would take you about three 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 73728864 cubic inches would be around 34.9 feet tall.
Recreational maths with 73728864
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 73728864 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 73728864 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/73728864/
Chicago style:
Numbermatics. 2024. "Number 73728864 - Facts about the integer". https://numbermatics.com/n/73728864/
The information we have on file for 73728864 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 73728864, math, Factors of 73728864, curriculum, school, college, exams, university, Prime factorization of 73728864, STEM, science, technology, engineering, physics, economics, calculator, seventy-three million, seven hundred twenty-eight thousand, eight hundred sixty-four.