47328000
47,328,000 is an even composite number composed of five prime numbers multiplied together.
47328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 47328000:
28 × 3 × 53 × 17 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 17 × 29)See below for interesting mathematical facts about the number 47328000 from the Numbermatics database.
Names of 47328000
- Cardinal: 47328000 can be written as Forty-seven million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.7328 × 107
Factors of 47328000
Divisors of 47328000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 32 34 40 48 50 51 58 60 64 68 75 80 85 87 96 100 102 116 120 125 128 136 145 150 160 170 174 192 200 204 232 240 250 255 256 272 290 300 320 340 348 375 384 400 408 425 435 464 480 493 500 510 544 580 600 640 680 696 725 750 768 800 816 850 870 928 960 986 1000 1020 1088 1160 1200 1275 1280 1360 1392 1450 1479 1500 1600 1632 1700 1740 1856 1920 1972 2000 2040 2125 2175 2176 2320 2400 2465 2550 2720 2784 2900 2958 3000 3200 3264 3400 3480 3625 3712 3840 3944 4000 4080 4250 4350 4352 4640 4800 4930 5100 5440 5568 5800 5916 6000 6375 6400 6528 6800 6960 7250 7395 7424 7888 8000 8160 8500 8700 9280 9600 9860 10200 10875 10880 11136 11600 11832 12000 12325 12750 13056 13600 13920 14500 14790 15776 16000 16320 17000 17400 18560 19200 19720 20400 21750 21760 22272 23200 23664 24000 24650 25500 27200 27840 29000 29580 31552 32000 32640 34000 34800 36975 37120 39440 40800 43500 46400 47328 48000 49300 51000 54400 55680 58000 59160 61625 63104 65280 68000 69600 73950 78880 81600 87000 92800 94656 96000 98600 102000 108800 111360 116000 118320 123250 126208 136000 139200 147900 157760 163200 174000 184875 185600 189312 197200 204000 232000 236640 246500 272000 278400 295800 315520 326400 348000 369750 378624 394400 408000 464000 473280 493000 544000 556800 591600 631040 696000 739500 788800 816000 928000 946560 986000 1183200 1392000 1479000 1577600 1632000 1893120 1972000 2366400 2784000 2958000 3155200 3944000 4732800 5916000 7888000 9465600 11832000 15776000 23664000 47328000
- Sum of all divisors σ(n): 172186560
- Sum of proper divisors (its aliquot sum) s(n): 124858560
- 47328000 is an abundant number, because the sum of its proper divisors (124858560) is greater than itself. Its abundance is 77530560
Bases of 47328000
- Binary: 101101001000101011000000002
- Hexadecimal: 0x2D22B00
- Base-36: S6EIO
Squares and roots of 47328000
- 47328000 squared (473280002) is 2239939584000000
- 47328000 cubed (473280003) is 106011860631552000000000
-
The
square root of 47328000 is 6879.5348679979 -
The
cube root of 47328000 is 361.7201626385
Scales and comparisons
How big is 47328000?- 47,328,000 seconds is equal to 1 year, 26 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 47,328,000 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 47328000 cubic inches would be around 30.1 feet tall.
Recreational maths with 47328000
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 47328000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 47328000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/47328000/
Chicago style:
Numbermatics. 2024. "Number 47328000 - Facts about the integer". https://numbermatics.com/n/47328000/
The information we have on file for 47328000 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 47328000, math, Factors of 47328000, curriculum, school, college, exams, university, Prime factorization of 47328000, STEM, science, technology, engineering, physics, economics, calculator, forty-seven million, three hundred twenty-eight thousand.