2428800
2,428,800 is an even composite number composed of five prime numbers multiplied together.
2428800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 2428800:
27 × 3 × 52 × 11 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 23)See below for interesting mathematical facts about the number 2428800 from the Numbermatics database.
Names of 2428800
- Cardinal: 2428800 can be written as Two million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.4288 × 106
Factors of 2428800
Divisors of 2428800
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 25 30 32 33 40 44 46 48 50 55 60 64 66 69 75 80 88 92 96 100 110 115 120 128 132 138 150 160 165 176 184 192 200 220 230 240 253 264 275 276 300 320 330 345 352 368 384 400 440 460 480 506 528 550 552 575 600 640 660 690 704 736 759 800 825 880 920 960 1012 1056 1100 1104 1150 1200 1265 1320 1380 1408 1472 1518 1600 1650 1725 1760 1840 1920 2024 2112 2200 2208 2300 2400 2530 2640 2760 2944 3036 3200 3300 3450 3520 3680 3795 4048 4224 4400 4416 4600 4800 5060 5280 5520 6072 6325 6600 6900 7040 7360 7590 8096 8800 8832 9200 9600 10120 10560 11040 12144 12650 13200 13800 14720 15180 16192 17600 18400 18975 20240 21120 22080 24288 25300 26400 27600 30360 32384 35200 36800 37950 40480 44160 48576 50600 52800 55200 60720 73600 75900 80960 97152 101200 105600 110400 121440 151800 161920 202400 220800 242880 303600 404800 485760 607200 809600 1214400 2428800
- Sum of all divisors σ(n): 9106560
- Sum of proper divisors (its aliquot sum) s(n): 6677760
- 2428800 is an abundant number, because the sum of its proper divisors (6677760) is greater than itself. Its abundance is 4248960
Bases of 2428800
- Binary: 10010100001111100000002
- Hexadecimal: 0x250F80
- Base-36: 1G22O
Squares and roots of 2428800
- 2428800 squared (24288002) is 5899069440000
- 2428800 cubed (24288003) is 14327659855872000000
-
The
square root of 2428800 is 1558.4607791023 -
The
cube root of 2428800 is 134.4200083591
Scales and comparisons
How big is 2428800?- 2,428,800 seconds is equal to 4 weeks, 2 hours, 40 minutes.
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To count from 1 to 2,428,800 would take you about six 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 2428800 cubic inches would be around 11.2 feet tall.
Recreational maths with 2428800
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The information we have on file for 2428800 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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