428288320
428,288,320 is an even composite number composed of five prime numbers multiplied together.
428288320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 428288320:
26 × 5 × 37 × 61 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 37 × 61 × 593)See below for interesting mathematical facts about the number 428288320 from the Numbermatics database.
Names of 428288320
- Cardinal: 428288320 can be written as Four hundred twenty-eight million, two hundred eighty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.2828832 × 108
Factors of 428288320
Divisors of 428288320
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 4 5 8 10 16 20 32 37 40 61 64 74 80 122 148 160 185 244 296 305 320 370 488 592 593 610 740 976 1184 1186 1220 1480 1952 2257 2368 2372 2440 2960 2965 3904 4514 4744 4880 5920 5930 9028 9488 9760 11285 11840 11860 18056 18976 19520 21941 22570 23720 36112 36173 37952 43882 45140 47440 72224 72346 87764 90280 94880 109705 144448 144692 175528 180560 180865 189760 219410 289384 351056 361120 361730 438820 578768 702112 722240 723460 877640 1157536 1338401 1404224 1446920 1755280 2315072 2676802 2893840 3510560 5353604 5787680 6692005 7021120 10707208 11575360 13384010 21414416 26768020 42828832 53536040 85657664 107072080 214144160 428288320
- Sum of all divisors σ(n): 1066391568
- Sum of proper divisors (its aliquot sum) s(n): 638103248
- 428288320 is an abundant number, because the sum of its proper divisors (638103248) is greater than itself. Its abundance is 209814928
Bases of 428288320
- Binary: 110011000011100101001010000002
- Hexadecimal: 0x19872940
- Base-36: 72ZPDS
Squares and roots of 428288320
- 428288320 squared (4282883202) is 183430885048422400
- 428288320 cubed (4282883203) is 78561305593501948346368000
-
The
square root of 428288320 is 20695.1279290561 -
The
cube root of 428288320 is 753.7813886841
Scales and comparisons
How big is 428288320?- 428,288,320 seconds is equal to 13 years, 32 weeks, 1 day, 58 minutes, 40 seconds.
-
To count from 1 to 428,288,320 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 428288320 cubic inches would be around 62.8 feet tall.
Recreational maths with 428288320
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The information we have on file for 428288320 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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