4228800
4,228,800 is an even composite number composed of four prime numbers multiplied together.
4228800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 4228800:
26 × 3 × 52 × 881
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 881)See below for interesting mathematical facts about the number 4228800 from the Numbermatics database.
Names of 4228800
- Cardinal: 4228800 can be written as Four million, two hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.2288 × 106
Factors of 4228800
Divisors of 4228800
- Number of divisors d(n): 84
-
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 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 881 960 1200 1600 1762 2400 2643 3524 4405 4800 5286 7048 8810 10572 13215 14096 17620 21144 22025 26430 28192 35240 42288 44050 52860 56384 66075 70480 84576 88100 105720 132150 140960 169152 176200 211440 264300 281920 352400 422880 528600 704800 845760 1057200 1409600 2114400 4228800
- Sum of all divisors σ(n): 13889736
- Sum of proper divisors (its aliquot sum) s(n): 9660936
- 4228800 is an abundant number, because the sum of its proper divisors (9660936) is greater than itself. Its abundance is 5432136
Bases of 4228800
- Binary: 100000010000110110000002
- Hexadecimal: 0x4086C0
- Base-36: 2IMYO
Squares and roots of 4228800
- 4228800 squared (42288002) is 17882749440000
- 4228800 cubed (42288003) is 75622570831872000000
-
The
square root of 4228800 is 2056.4046294443 -
The
cube root of 4228800 is 161.7108085553
Scales and comparisons
How big is 4228800?- 4,228,800 seconds is equal to 6 weeks, 6 days, 22 hours, 40 minutes.
-
To count from 1 to 4,228,800 would take you about ten weeks!
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 4228800 cubic inches would be around 13.5 feet tall.
Recreational maths with 4228800
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The information we have on file for 4228800 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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