4768000
4,768,000 is an even composite number composed of three prime numbers multiplied together.
4768000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 4768000:
28 × 53 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 149)See below for interesting mathematical facts about the number 4768000 from the Numbermatics database.
Names of 4768000
- Cardinal: 4768000 can be written as Four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.768 × 106
Factors of 4768000
Divisors of 4768000
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 149 160 200 250 256 298 320 400 500 596 640 745 800 1000 1192 1280 1490 1600 2000 2384 2980 3200 3725 4000 4768 5960 6400 7450 8000 9536 11920 14900 16000 18625 19072 23840 29800 32000 37250 38144 47680 59600 74500 95360 119200 149000 190720 238400 298000 476800 596000 953600 1192000 2384000 4768000
- Sum of all divisors σ(n): 11957400
- Sum of proper divisors (its aliquot sum) s(n): 7189400
- 4768000 is an abundant number, because the sum of its proper divisors (7189400) is greater than itself. Its abundance is 2421400
Bases of 4768000
- Binary: 100100011000001000000002
- Hexadecimal: 0x48C100
- Base-36: 2U70G
Squares and roots of 4768000
- 4768000 squared (47680002) is 22733824000000
- 4768000 cubed (47680003) is 108394872832000000000
-
The
square root of 4768000 is 2183.5750502329 -
The
cube root of 4768000 is 168.3108379791
Scales and comparisons
How big is 4768000?- 4,768,000 seconds is equal to 7 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 4,768,000 would take you about eleven weeks!
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 4768000 cubic inches would be around 14 feet tall.
Recreational maths with 4768000
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The information we have on file for 4768000 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!
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