428087625
428,087,625 is an odd composite number composed of six prime numbers multiplied together.
428087625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 428087625:
3 × 53 × 7 × 17 × 53 × 181
(3 × 5 × 5 × 5 × 7 × 17 × 53 × 181)See below for interesting mathematical facts about the number 428087625 from the Numbermatics database.
Names of 428087625
- Cardinal: 428087625 can be written as Four hundred twenty-eight million, eighty-seven thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 4.28087625 × 108
Factors of 428087625
Divisors of 428087625
- Number of divisors d(n): 128
-
Complete list of divisors:
1 3 5 7 15 17 21 25 35 51 53 75 85 105 119 125 159 175 181 255 265 357 371 375 425 525 543 595 795 875 901 905 1113 1267 1275 1325 1785 1855 2125 2625 2703 2715 2975 3077 3801 3975 4505 4525 5565 6307 6335 6375 6625 8925 9231 9275 9593 13515 13575 14875 15385 18921 19005 19875 21539 22525 22625 27825 28779 31535 31675 44625 46155 46375 47965 64617 67151 67575 67875 76925 94605 95025 107695 112625 139125 143895 157675 158375 163081 201453 230775 239825 323085 335755 337875 384625 473025 475125 489243 538475 719475 788375 815405 1007265 1141567 1153875 1199125 1615425 1678775 2365125 2446215 2692375 3424701 3597375 4077025 5036325 5707835 8077125 8393875 12231075 17123505 20385125 25181625 28539175 61155375 85617525 142695875 428087625
- Sum of all divisors σ(n): 883104768
- Sum of proper divisors (its aliquot sum) s(n): 455017143
- 428087625 is an abundant number, because the sum of its proper divisors (455017143) is greater than itself. Its abundance is 26929518
Bases of 428087625
- Binary: 110011000010000011001010010012
- Hexadecimal: 0x19841949
- Base-36: 72VEIX
Squares and roots of 428087625
- 428087625 squared (4280876252) is 183259014678140625
- 428087625 cubed (4280876253) is 78450916353405359572265625
-
The
square root of 428087625 is 20690.2785143169 -
The
cube root of 428087625 is 753.6636301675
Scales and comparisons
How big is 428087625?- 428,087,625 seconds is equal to 13 years, 31 weeks, 5 days, 17 hours, 13 minutes, 45 seconds.
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To count from 1 to 428,087,625 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 428087625 cubic inches would be around 62.8 feet tall.
Recreational maths with 428087625
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