48768000
48,768,000 is an even composite number composed of four prime numbers multiplied together.
48768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 48768000:
210 × 3 × 53 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 127)See below for interesting mathematical facts about the number 48768000 from the Numbermatics database.
Names of 48768000
- Cardinal: 48768000 can be written as Forty-eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8768 × 107
Factors of 48768000
Divisors of 48768000
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 127 128 150 160 192 200 240 250 254 256 300 320 375 381 384 400 480 500 508 512 600 635 640 750 762 768 800 960 1000 1016 1024 1200 1270 1280 1500 1524 1536 1600 1905 1920 2000 2032 2400 2540 2560 3000 3048 3072 3175 3200 3810 3840 4000 4064 4800 5080 5120 6000 6096 6350 6400 7620 7680 8000 8128 9525 9600 10160 12000 12192 12700 12800 15240 15360 15875 16000 16256 19050 19200 20320 24000 24384 25400 25600 30480 31750 32000 32512 38100 38400 40640 47625 48000 48768 50800 60960 63500 64000 65024 76200 76800 81280 95250 96000 97536 101600 121920 127000 128000 130048 152400 162560 190500 192000 195072 203200 243840 254000 304800 325120 381000 384000 390144 406400 487680 508000 609600 650240 762000 812800 975360 1016000 1219200 1524000 1625600 1950720 2032000 2438400 3048000 3251200 4064000 4876800 6096000 8128000 9753600 12192000 16256000 24384000 48768000
- Sum of all divisors σ(n): 163497984
- Sum of proper divisors (its aliquot sum) s(n): 114729984
- 48768000 is an abundant number, because the sum of its proper divisors (114729984) is greater than itself. Its abundance is 65961984
Bases of 48768000
- Binary: 101110100000100100000000002
- Hexadecimal: 0x2E82400
- Base-36: T19MO
Squares and roots of 48768000
- 48768000 squared (487680002) is 2378317824000000
- 48768000 cubed (487680003) is 115985803640832000000000
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The
square root of 48768000 is 6983.4089096945 -
The
cube root of 48768000 is 365.3521340541
Scales and comparisons
How big is 48768000?- 48,768,000 seconds is equal to 1 year, 28 weeks, 4 days, 10 hours, 40 minutes.
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To count from 1 to 48,768,000 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 48768000 cubic inches would be around 30.4 feet tall.
Recreational maths with 48768000
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The information we have on file for 48768000 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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