428088672
428,088,672 is an even composite number composed of five prime numbers multiplied together.
428088672 is an even 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 428088672:
25 × 33 × 11 × 31 × 1453
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 31 × 1453)See below for interesting mathematical facts about the number 428088672 from the Numbermatics database.
Names of 428088672
- Cardinal: 428088672 can be written as Four hundred twenty-eight million, eighty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.28088672 × 108
Factors of 428088672
Divisors of 428088672
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 66 72 88 93 96 99 108 124 132 144 176 186 198 216 248 264 279 288 297 341 352 372 396 432 496 528 558 594 682 744 792 837 864 992 1023 1056 1116 1188 1364 1453 1488 1584 1674 2046 2232 2376 2728 2906 2976 3069 3168 3348 4092 4359 4464 4752 5456 5812 6138 6696 8184 8718 8928 9207 9504 10912 11624 12276 13077 13392 15983 16368 17436 18414 23248 24552 26154 26784 31966 32736 34872 36828 39231 45043 46496 47949 49104 52308 63932 69744 73656 78462 90086 95898 98208 104616 127864 135129 139488 143847 147312 156924 180172 191796 209232 255728 270258 287694 294624 313848 360344 383592 405387 418464 431541 495473 511456 540516 575388 627696 720688 767184 810774 863082 990946 1081032 1150776 1216161 1255392 1441376 1486419 1534368 1621548 1726164 1981892 2162064 2301552 2432322 2972838 3243096 3452328 3963784 4324128 4459257 4603104 4864644 5945676 6486192 6904656 7927568 8918514 9729288 11891352 12972384 13377771 13809312 15855136 17837028 19458576 23782704 26755542 35674056 38917152 47565408 53511084 71348112 107022168 142696224 214044336 428088672
- Sum of all divisors σ(n): 1407006720
- Sum of proper divisors (its aliquot sum) s(n): 978918048
- 428088672 is an abundant number, because the sum of its proper divisors (978918048) is greater than itself. Its abundance is 550829376
Bases of 428088672
- Binary: 110011000010000011101011000002
- Hexadecimal: 0x19841D60
- Base-36: 72VFC0
Squares and roots of 428088672
- 428088672 squared (4280886722) is 183259911094723584
- 428088672 cubed (4280886723) is 78451491971378285281640448
-
The
square root of 428088672 is 20690.3038160391 -
The
cube root of 428088672 is 753.6642445941
Scales and comparisons
How big is 428088672?- 428,088,672 seconds is equal to 13 years, 31 weeks, 5 days, 17 hours, 31 minutes, 12 seconds.
-
To count from 1 to 428,088,672 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 428088672 cubic inches would be around 62.8 feet tall.
Recreational maths with 428088672
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