48960000
48,960,000 is an even composite number composed of four prime numbers multiplied together.
48960000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred divisors.
Prime factorization of 48960000:
29 × 32 × 54 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 17)See below for interesting mathematical facts about the number 48960000 from the Numbermatics database.
Names of 48960000
- Cardinal: 48960000 can be written as Forty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 4.896 × 107
Factors of 48960000
Divisors of 48960000
- Number of divisors d(n): 300
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 125 128 136 144 150 153 160 170 180 192 200 204 225 240 250 255 256 272 288 300 306 320 340 360 375 384 400 408 425 450 480 500 510 512 544 576 600 612 625 640 680 720 750 765 768 800 816 850 900 960 1000 1020 1088 1125 1152 1200 1224 1250 1275 1280 1360 1440 1500 1530 1536 1600 1632 1700 1800 1875 1920 2000 2040 2125 2176 2250 2304 2400 2448 2500 2550 2560 2720 2880 3000 3060 3200 3264 3400 3600 3750 3825 3840 4000 4080 4250 4352 4500 4608 4800 4896 5000 5100 5440 5625 5760 6000 6120 6375 6400 6528 6800 7200 7500 7650 7680 8000 8160 8500 8704 9000 9600 9792 10000 10200 10625 10880 11250 11520 12000 12240 12750 12800 13056 13600 14400 15000 15300 16000 16320 17000 18000 19125 19200 19584 20000 20400 21250 21760 22500 23040 24000 24480 25500 26112 27200 28800 30000 30600 31875 32000 32640 34000 36000 38250 38400 39168 40000 40800 42500 43520 45000 48000 48960 51000 54400 57600 60000 61200 63750 64000 65280 68000 72000 76500 78336 80000 81600 85000 90000 95625 96000 97920 102000 108800 115200 120000 122400 127500 130560 136000 144000 153000 160000 163200 170000 180000 191250 192000 195840 204000 217600 240000 244800 255000 272000 288000 306000 320000 326400 340000 360000 382500 391680 408000 480000 489600 510000 544000 576000 612000 652800 680000 720000 765000 816000 960000 979200 1020000 1088000 1224000 1360000 1440000 1530000 1632000 1958400 2040000 2448000 2720000 2880000 3060000 3264000 4080000 4896000 5440000 6120000 8160000 9792000 12240000 16320000 24480000 48960000
- Sum of all divisors σ(n): 186957342
- Sum of proper divisors (its aliquot sum) s(n): 137997342
- 48960000 is an abundant number, because the sum of its proper divisors (137997342) is greater than itself. Its abundance is 89037342
Bases of 48960000
- Binary: 101110101100010010000000002
- Hexadecimal: 0x2EB1200
- Base-36: T5DS0
Squares and roots of 48960000
- 48960000 squared (489600002) is 2397081600000000
- 48960000 cubed (489600003) is 117361115136000000000000
-
The
square root of 48960000 is 6997.1422738143 -
The
cube root of 48960000 is 365.8309709509
Scales and comparisons
How big is 48960000?- 48,960,000 seconds is equal to 1 year, 28 weeks, 6 days, 16 hours.
-
To count from 1 to 48,960,000 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 48960000 cubic inches would be around 30.5 feet tall.
Recreational maths with 48960000
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