428079600
428,079,600 is an even composite number composed of five prime numbers multiplied together.
428079600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 428079600:
24 × 33 × 52 × 13 × 3049
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 3049)See below for interesting mathematical facts about the number 428079600 from the Numbermatics database.
Names of 428079600
- Cardinal: 428079600 can be written as Four hundred twenty-eight million, seventy-nine thousand, six hundred.
Scientific notation
- Scientific notation: 4.280796 × 108
Factors of 428079600
Divisors of 428079600
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 100 104 108 117 120 130 135 144 150 156 180 195 200 208 216 225 234 240 260 270 300 312 325 351 360 390 400 432 450 468 520 540 585 600 624 650 675 702 720 780 900 936 975 1040 1080 1170 1200 1300 1350 1404 1560 1755 1800 1872 1950 2160 2340 2600 2700 2808 2925 3049 3120 3510 3600 3900 4680 5200 5400 5616 5850 6098 7020 7800 8775 9147 9360 10800 11700 12196 14040 15245 15600 17550 18294 23400 24392 27441 28080 30490 35100 36588 39637 45735 46800 48784 54882 60980 70200 73176 76225 79274 82323 91470 109764 118911 121960 137205 140400 146352 152450 158548 164646 182940 198185 219528 228675 237822 243920 274410 304900 317096 329292 356733 365880 396370 411615 439056 457350 475644 548820 594555 609800 634192 658584 686025 713466 731760 792740 823230 914700 951288 990925 1070199 1097640 1189110 1219600 1317168 1372050 1426932 1585480 1646460 1783665 1829400 1902576 1981850 2058075 2140398 2195280 2378220 2744100 2853864 2972775 3170960 3292920 3567330 3658800 3963700 4116150 4280796 4756440 5350995 5488200 5707728 5945550 6585840 7134660 7927400 8232300 8561592 8918325 9512880 10701990 10976400 11891100 14269320 15854800 16464600 17123184 17836650 21403980 23782200 26754975 28538640 32929200 35673300 42807960 47564400 53509950 71346600 85615920 107019900 142693200 214039800 428079600
- Sum of all divisors σ(n): 1641388000
- Sum of proper divisors (its aliquot sum) s(n): 1213308400
- 428079600 is an abundant number, because the sum of its proper divisors (1213308400) is greater than itself. Its abundance is 785228800
Bases of 428079600
- Binary: 110011000001111111001111100002
- Hexadecimal: 0x1983F9F0
- Base-36: 72V8C0
Squares and roots of 428079600
- 428079600 squared (4280796002) is 183252143936160000
- 428079600 cubed (4280796003) is 78446504475333798336000000
-
The
square root of 428079600 is 20690.0845817507 -
The
cube root of 428079600 is 753.6589207045
Scales and comparisons
How big is 428079600?- 428,079,600 seconds is equal to 13 years, 31 weeks, 5 days, 15 hours.
-
To count from 1 to 428,079,600 would take you about twenty 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 428079600 cubic inches would be around 62.8 feet tall.
Recreational maths with 428079600
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