480048000
480,048,000 is an even composite number composed of five prime numbers multiplied together.
480048000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 480048000:
27 × 3 × 53 × 73 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 73 × 137)See below for interesting mathematical facts about the number 480048000 from the Numbermatics database.
Names of 480048000
- Cardinal: 480048000 can be written as Four hundred eighty million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.80048 × 108
Factors of 480048000
Divisors of 480048000
- Number of divisors d(n): 256
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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 73 75 80 96 100 120 125 128 137 146 150 160 192 200 219 240 250 274 292 300 320 365 375 384 400 411 438 480 500 548 584 600 640 685 730 750 800 822 876 960 1000 1095 1096 1168 1200 1370 1460 1500 1600 1644 1752 1825 1920 2000 2055 2190 2192 2336 2400 2740 2920 3000 3200 3288 3425 3504 3650 4000 4110 4380 4384 4672 4800 5475 5480 5840 6000 6576 6850 7008 7300 8000 8220 8760 8768 9125 9344 9600 10001 10275 10950 10960 11680 12000 13152 13700 14016 14600 16000 16440 17125 17520 17536 18250 20002 20550 21900 21920 23360 24000 26304 27375 27400 28032 29200 30003 32880 34250 35040 36500 40004 41100 43800 43840 46720 48000 50005 51375 52608 54750 54800 58400 60006 65760 68500 70080 73000 80008 82200 87600 87680 100010 102750 109500 109600 116800 120012 131520 137000 140160 146000 150015 160016 164400 175200 200020 205500 219000 219200 233600 240024 250025 263040 274000 292000 300030 320032 328800 350400 400040 411000 438000 438400 480048 500050 548000 584000 600060 640064 657600 700800 750075 800080 822000 876000 960096 1000100 1096000 1168000 1200120 1250125 1280128 1315200 1500150 1600160 1644000 1752000 1920192 2000200 2192000 2400240 2500250 3000300 3200320 3288000 3504000 3750375 3840384 4000400 4800480 5000500 6000600 6400640 6576000 7500750 8000800 9600960 10001000 12001200 15001500 16001600 19201920 20002000 24002400 30003000 32003200 40004000 48004800 60006000 80008000 96009600 120012000 160016000 240024000 480048000
- Sum of all divisors σ(n): 1624933440
- Sum of proper divisors (its aliquot sum) s(n): 1144885440
- 480048000 is an abundant number, because the sum of its proper divisors (1144885440) is greater than itself. Its abundance is 664837440
Bases of 480048000
- Binary: 111001001110011110011100000002
- Hexadecimal: 0x1C9CF380
- Base-36: 7XT3EO
Squares and roots of 480048000
- 480048000 squared (4800480002) is 230446082304000000
- 480048000 cubed (4800480003) is 110625180917870592000000000
-
The
square root of 480048000 is 21909.9977179369 -
The
cube root of 480048000 is 782.9996264815
Scales and comparisons
How big is 480048000?- 480,048,000 seconds is equal to 15 years, 13 weeks, 5 days, 2 hours, 40 minutes.
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To count from 1 to 480,048,000 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 480048000 cubic inches would be around 65.2 feet tall.
Recreational maths with 480048000
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