480768000
480,768,000 is an even composite number composed of four prime numbers multiplied together.
480768000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eight divisors.
Prime factorization of 480768000:
212 × 3 × 53 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 313)See below for interesting mathematical facts about the number 480768000 from the Numbermatics database.
Names of 480768000
- Cardinal: 480768000 can be written as Four hundred eighty million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.80768 × 108
Factors of 480768000
Divisors of 480768000
- Number of divisors d(n): 208
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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 96 100 120 125 128 150 160 192 200 240 250 256 300 313 320 375 384 400 480 500 512 600 626 640 750 768 800 939 960 1000 1024 1200 1252 1280 1500 1536 1565 1600 1878 1920 2000 2048 2400 2504 2560 3000 3072 3130 3200 3756 3840 4000 4096 4695 4800 5008 5120 6000 6144 6260 6400 7512 7680 7825 8000 9390 9600 10016 10240 12000 12288 12520 12800 15024 15360 15650 16000 18780 19200 20032 20480 23475 24000 25040 25600 30048 30720 31300 32000 37560 38400 39125 40064 46950 48000 50080 51200 60096 61440 62600 64000 75120 76800 78250 80128 93900 96000 100160 102400 117375 120192 125200 128000 150240 153600 156500 160256 187800 192000 200320 234750 240384 250400 256000 300480 307200 313000 320512 375600 384000 400640 469500 480768 500800 512000 600960 626000 641024 751200 768000 801280 939000 961536 1001600 1201920 1252000 1282048 1502400 1536000 1602560 1878000 1923072 2003200 2403840 2504000 3004800 3205120 3756000 3846144 4006400 4807680 5008000 6009600 6410240 7512000 8012800 9615360 10016000 12019200 15024000 16025600 19230720 20032000 24038400 30048000 32051200 40064000 48076800 60096000 80128000 96153600 120192000 160256000 240384000 480768000
- Sum of all divisors σ(n): 1604911776
- Sum of proper divisors (its aliquot sum) s(n): 1124143776
- 480768000 is an abundant number, because the sum of its proper divisors (1124143776) is greater than itself. Its abundance is 643375776
Bases of 480768000
- Binary: 111001010011111110000000000002
- Hexadecimal: 0x1CA7F000
- Base-36: 7Y8IYO
Squares and roots of 480768000
- 480768000 squared (4807680002) is 231137869824000000
- 480768000 cubed (4807680003) is 111123691399544832000000000
-
The
square root of 480768000 is 21926.4224168011 -
The
cube root of 480768000 is 783.3908916007
Scales and comparisons
How big is 480768000?- 480,768,000 seconds is equal to 15 years, 14 weeks, 6 days, 10 hours, 40 minutes.
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To count from 1 to 480,768,000 would take you about twenty-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 480768000 cubic inches would be around 65.3 feet tall.
Recreational maths with 480768000
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