428979200
428,979,200 is an even composite number composed of four prime numbers multiplied together.
428979200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred thirty-two divisors.
Prime factorization of 428979200:
210 × 52 × 13 × 1289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 1289)See below for interesting mathematical facts about the number 428979200 from the Numbermatics database.
Names of 428979200
- Cardinal: 428979200 can be written as Four hundred twenty-eight million, nine hundred seventy-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.289792 × 108
Factors of 428979200
Divisors of 428979200
- Number of divisors d(n): 132
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1024 1040 1280 1289 1300 1600 1664 2080 2560 2578 2600 3200 3328 4160 5120 5156 5200 6400 6445 6656 8320 10312 10400 12800 12890 13312 16640 16757 20624 20800 25600 25780 32225 33280 33514 41248 41600 51560 64450 66560 67028 82496 83200 83785 103120 128900 134056 164992 166400 167570 206240 257800 268112 329984 332800 335140 412480 418925 515600 536224 659968 670280 824960 837850 1031200 1072448 1319936 1340560 1649920 1675700 2062400 2144896 2681120 3299840 3351400 4124800 4289792 5362240 6599680 6702800 8249600 8579584 10724480 13405600 16499200 17159168 21448960 26811200 32998400 42897920 53622400 85795840 107244800 214489600 428979200
- Sum of all divisors σ(n): 1146033420
- Sum of proper divisors (its aliquot sum) s(n): 717054220
- 428979200 is an abundant number, because the sum of its proper divisors (717054220) is greater than itself. Its abundance is 288075020
Bases of 428979200
- Binary: 110011001000110110100000000002
- Hexadecimal: 0x1991B400
- Base-36: 73EIGW
Squares and roots of 428979200
- 428979200 squared (4289792002) is 184023154032640000
- 428979200 cubed (4289792003) is 78942105398398681088000000
-
The
square root of 428979200 is 20711.8130543899 -
The
cube root of 428979200 is 754.1864839509
Scales and comparisons
How big is 428979200?- 428,979,200 seconds is equal to 13 years, 33 weeks, 2 days, 53 minutes, 20 seconds.
-
To count from 1 to 428,979,200 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 428979200 cubic inches would be around 62.8 feet tall.
Recreational maths with 428979200
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