42048000
42,048,000 is an even composite number composed of four prime numbers multiplied together.
42048000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 42048000:
29 × 32 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 73)See below for interesting mathematical facts about the number 42048000 from the Numbermatics database.
Names of 42048000
- Cardinal: 42048000 can be written as Forty-two million, forty-eight thousand.
Scientific notation
- Scientific notation: 4.2048 × 107
Factors of 42048000
Divisors of 42048000
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 73 75 80 90 96 100 120 125 128 144 146 150 160 180 192 200 219 225 240 250 256 288 292 300 320 360 365 375 384 400 438 450 480 500 512 576 584 600 640 657 720 730 750 768 800 876 900 960 1000 1095 1125 1152 1168 1200 1280 1314 1440 1460 1500 1536 1600 1752 1800 1825 1920 2000 2190 2250 2304 2336 2400 2560 2628 2880 2920 3000 3200 3285 3504 3600 3650 3840 4000 4380 4500 4608 4672 4800 5256 5475 5760 5840 6000 6400 6570 7008 7200 7300 7680 8000 8760 9000 9125 9344 9600 10512 10950 11520 11680 12000 12800 13140 14016 14400 14600 16000 16425 17520 18000 18250 18688 19200 21024 21900 23040 23360 24000 26280 27375 28032 28800 29200 32000 32850 35040 36000 36500 37376 38400 42048 43800 46720 48000 52560 54750 56064 57600 58400 64000 65700 70080 72000 73000 82125 84096 87600 93440 96000 105120 109500 112128 115200 116800 131400 140160 144000 146000 164250 168192 175200 186880 192000 210240 219000 233600 262800 280320 288000 292000 328500 336384 350400 420480 438000 467200 525600 560640 576000 584000 657000 700800 840960 876000 934400 1051200 1168000 1314000 1401600 1681920 1752000 2102400 2336000 2628000 2803200 3504000 4204800 4672000 5256000 7008000 8409600 10512000 14016000 21024000 42048000
- Sum of all divisors σ(n): 153523656
- Sum of proper divisors (its aliquot sum) s(n): 111475656
- 42048000 is an abundant number, because the sum of its proper divisors (111475656) is greater than itself. Its abundance is 69427656
Bases of 42048000
- Binary: 101000000110011010000000002
- Hexadecimal: 0x2819A00
- Base-36: P18G0
Squares and roots of 42048000
- 42048000 squared (420480002) is 1768034304000000
- 42048000 cubed (420480003) is 74342306414592000000000
-
The
square root of 42048000 is 6484.4429213309 -
The
cube root of 42048000 is 347.7350341375
Scales and comparisons
How big is 42048000?- 42,048,000 seconds is equal to 1 year, 17 weeks, 3 days, 16 hours.
-
To count from 1 to 42,048,000 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 42048000 cubic inches would be around 29 feet tall.
Recreational maths with 42048000
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The information we have on file for 42048000 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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