6428800
6,428,800 is an even composite number composed of four prime numbers multiplied together.
6428800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 6428800:
27 × 52 × 72 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 41)See below for interesting mathematical facts about the number 6428800 from the Numbermatics database.
Names of 6428800
- Cardinal: 6428800 can be written as Six million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 6.4288 × 106
Factors of 6428800
Divisors of 6428800
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 128 140 160 164 175 196 200 205 224 245 280 287 320 328 350 392 400 410 448 490 560 574 640 656 700 784 800 820 896 980 1025 1120 1148 1225 1312 1400 1435 1568 1600 1640 1960 2009 2050 2240 2296 2450 2624 2800 2870 3136 3200 3280 3920 4018 4100 4480 4592 4900 5248 5600 5740 6272 6560 7175 7840 8036 8200 9184 9800 10045 11200 11480 13120 14350 15680 16072 16400 18368 19600 20090 22400 22960 26240 28700 31360 32144 32800 36736 39200 40180 45920 50225 57400 64288 65600 78400 80360 91840 100450 114800 128576 131200 156800 160720 183680 200900 229600 257152 321440 401800 459200 642880 803600 918400 1285760 1607200 3214400 6428800
- Sum of all divisors σ(n): 18924570
- Sum of proper divisors (its aliquot sum) s(n): 12495770
- 6428800 is an abundant number, because the sum of its proper divisors (12495770) is greater than itself. Its abundance is 6066970
Bases of 6428800
- Binary: 110001000011000100000002
- Hexadecimal: 0x621880
- Base-36: 3TSHS
Squares and roots of 6428800
- 6428800 squared (64288002) is 41329469440000
- 6428800 cubed (64288003) is 265698893135872000000
-
The
square root of 6428800 is 2535.5078386785 -
The
cube root of 6428800 is 185.9416319731
Scales and comparisons
How big is 6428800?- 6,428,800 seconds is equal to 10 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 6,428,800 would take you about fifteen 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 6428800 cubic inches would be around 15.5 feet tall.
Recreational maths with 6428800
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The information we have on file for 6428800 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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