428920752
428,920,752 is an even composite number composed of five prime numbers multiplied together.
What does the number 428920752 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
428920752 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 428920752:
24 × 3 × 13 × 307 × 2239
(2 × 2 × 2 × 2 × 3 × 13 × 307 × 2239)See below for interesting mathematical facts about the number 428920752 from the Numbermatics database.
Names of 428920752
- Cardinal: 428920752 can be written as Four hundred twenty-eight million, nine hundred twenty thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 4.28920752 × 108
Factors of 428920752
Divisors of 428920752
- Number of divisors d(n): 80
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 307 312 614 624 921 1228 1842 2239 2456 3684 3991 4478 4912 6717 7368 7982 8956 11973 13434 14736 15964 17912 23946 26868 29107 31928 35824 47892 53736 58214 63856 87321 95784 107472 116428 174642 191568 232856 349284 465712 687373 698568 1374746 1397136 2062119 2749492 4124238 5498984 8248476 8935849 10997968 16496952 17871698 26807547 32993904 35743396 53615094 71486792 107230188 142973584 214460376 428920752
- Sum of all divisors σ(n): 1197701120
- Sum of proper divisors (its aliquot sum) s(n): 768780368
- 428920752 is an abundant number, because the sum of its proper divisors (768780368) is greater than itself. Its abundance is 339859616
Bases of 428920752
- Binary: 110011001000011001111101100002
- Hexadecimal: 0x1990CFB0
- Base-36: 73D9DC
Squares and roots of 428920752
- 428920752 squared (4289207522) is 183973011496245504
- 428920752 cubed (4289207523) is 78909842438674266752299008
-
The
square root of 428920752 is 20710.4020241037 -
The
cube root of 428920752 is 754.1522300029
Scales and comparisons
How big is 428920752?- 428,920,752 seconds is equal to 13 years, 33 weeks, 1 day, 8 hours, 39 minutes, 12 seconds.
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To count from 1 to 428,920,752 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 428920752 cubic inches would be around 62.8 feet tall.
Recreational maths with 428920752
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