4148928
4,148,928 is an even composite number composed of three prime numbers multiplied together.
4148928 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred forty divisors.
Prime factorization of 4148928:
26 × 33 × 74
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 4148928 from the Numbermatics database.
Names of 4148928
- Cardinal: 4148928 can be written as Four million, one hundred forty-eight thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 4.148928 × 106
Factors of 4148928
Divisors of 4148928
- Number of divisors d(n): 140
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 343 378 392 432 441 448 504 576 588 672 686 756 784 864 882 1008 1029 1176 1323 1344 1372 1512 1568 1728 1764 2016 2058 2352 2401 2646 2744 3024 3087 3136 3528 4032 4116 4704 4802 5292 5488 6048 6174 7056 7203 8232 9261 9408 9604 10584 10976 12096 12348 14112 14406 16464 18522 19208 21168 21609 21952 24696 28224 28812 32928 37044 38416 42336 43218 49392 57624 64827 65856 74088 76832 84672 86436 98784 115248 129654 148176 153664 172872 197568 230496 259308 296352 345744 460992 518616 592704 691488 1037232 1382976 2074464 4148928
- Sum of all divisors σ(n): 14229080
- Sum of proper divisors (its aliquot sum) s(n): 10080152
- 4148928 is an abundant number, because the sum of its proper divisors (10080152) is greater than itself. Its abundance is 5931224
Bases of 4148928
- Binary: 11111101001110110000002
- Hexadecimal: 0x3F4EC0
- Base-36: 2GXC0
Squares and roots of 4148928
- 4148928 squared (41489282) is 17213603549184
- 4148928 cubed (41489283) is 71418001746108874752
-
The
square root of 4148928 is 2036.8917497009 -
The
cube root of 4148928 is 160.6862193529
Scales and comparisons
How big is 4148928?- 4,148,928 seconds is equal to 6 weeks, 6 days, 28 minutes, 48 seconds.
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To count from 1 to 4,148,928 would take you about ten weeks!
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 4148928 cubic inches would be around 13.4 feet tall.
Recreational maths with 4148928
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The information we have on file for 4148928 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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