428816025
428,816,025 is an odd composite number composed of five prime numbers multiplied together.
428816025 is an odd 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 428816025:
37 × 52 × 11 × 23 × 31
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 23 × 31)See below for interesting mathematical facts about the number 428816025 from the Numbermatics database.
Names of 428816025
- Cardinal: 428816025 can be written as Four hundred twenty-eight million, eight hundred sixteen thousand and twenty-five.
Scientific notation
- Scientific notation: 4.28816025 × 108
Factors of 428816025
Divisors of 428816025
- Number of divisors d(n): 192
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Complete list of divisors:
1 3 5 9 11 15 23 25 27 31 33 45 55 69 75 81 93 99 115 135 155 165 207 225 243 253 275 279 297 341 345 405 465 495 575 621 675 713 729 759 775 825 837 891 1023 1035 1215 1265 1395 1485 1705 1725 1863 2025 2139 2187 2277 2325 2475 2511 2673 3069 3105 3565 3645 3795 4185 4455 5115 5175 5589 6075 6325 6417 6831 6975 7425 7533 7843 8019 8525 9207 9315 10695 10935 11385 12555 13365 15345 15525 16767 17825 18225 18975 19251 20493 20925 22275 22599 23529 24057 25575 27621 27945 32085 34155 37665 39215 40095 46035 46575 50301 53475 54675 56925 57753 61479 62775 66825 67797 70587 76725 82863 83835 96255 102465 112995 117645 120285 138105 139725 160425 170775 173259 184437 188325 196075 200475 211761 230175 248589 251505 288765 307395 338985 352935 414315 419175 481275 512325 519777 553311 564975 588225 601425 635283 690525 745767 866295 922185 1058805 1242945 1257525 1443825 1536975 1559331 1694925 1764675 1905849 2071575 2598885 2766555 3176415 3728835 4331475 4610925 5294025 5717547 6214725 7796655 9529245 12994425 13832775 15882075 17152641 18644175 28587735 38983275 47646225 85763205 142938675 428816025
- Sum of all divisors σ(n): 937082880
- Sum of proper divisors (its aliquot sum) s(n): 508266855
- 428816025 is an abundant number, because the sum of its proper divisors (508266855) is greater than itself. Its abundance is 79450830
Bases of 428816025
- Binary: 110011000111100110110100110012
- Hexadecimal: 0x198F3699
- Base-36: 73B0K9
Squares and roots of 428816025
- 428816025 squared (4288160252) is 183883183296800625
- 428816025 cubed (4288160253) is 78852055725680439230015625
-
The
square root of 428816025 is 20707.8735026077 -
The
cube root of 428816025 is 754.0908460687
Scales and comparisons
How big is 428816025?- 428,816,025 seconds is equal to 13 years, 33 weeks, 3 hours, 33 minutes, 45 seconds.
-
To count from 1 to 428,816,025 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 428816025 cubic inches would be around 62.8 feet tall.
Recreational maths with 428816025
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