46428768
46,428,768 is an even composite number composed of five prime numbers multiplied together.
46428768 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 46428768:
25 × 33 × 17 × 29 × 109
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 17 × 29 × 109)See below for interesting mathematical facts about the number 46428768 from the Numbermatics database.
Names of 46428768
- Cardinal: 46428768 can be written as Forty-six million, four hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.6428768 × 107
Factors of 46428768
Divisors of 46428768
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 29 32 34 36 48 51 54 58 68 72 87 96 102 108 109 116 136 144 153 174 204 216 218 232 261 272 288 306 327 348 408 432 436 459 464 493 522 544 612 654 696 783 816 864 872 918 928 981 986 1044 1224 1308 1392 1479 1566 1632 1744 1836 1853 1962 1972 2088 2448 2616 2784 2943 2958 3132 3161 3488 3672 3706 3924 3944 4176 4437 4896 5232 5559 5886 5916 6264 6322 7344 7412 7848 7888 8352 8874 9483 10464 11118 11772 11832 12528 12644 13311 14688 14824 15696 15776 16677 17748 18966 22236 23544 23664 25056 25288 26622 28449 29648 31392 33354 35496 37932 44472 47088 47328 50031 50576 53244 53737 56898 59296 66708 70992 75864 85347 88944 94176 100062 101152 106488 107474 113796 133416 141984 151728 161211 170694 177888 200124 212976 214948 227592 266832 303456 322422 341388 400248 425952 429896 455184 483633 533664 644844 682776 800496 859792 910368 967266 1289688 1365552 1450899 1600992 1719584 1934532 2579376 2731104 2901798 3869064 5158752 5803596 7738128 11607192 15476256 23214384 46428768
- Sum of all divisors σ(n): 149688000
- Sum of proper divisors (its aliquot sum) s(n): 103259232
- 46428768 is an abundant number, because the sum of its proper divisors (103259232) is greater than itself. Its abundance is 56830464
Bases of 46428768
- Binary: 101100010001110010011000002
- Hexadecimal: 0x2C47260
- Base-36: RN4O0
Squares and roots of 46428768
- 46428768 squared (464287682) is 2155630497997824
- 46428768 cubed (464287683) is 100083268285265435000832
-
The
square root of 46428768 is 6813.8658630765 -
The
cube root of 46428768 is 359.4146041597
Scales and comparisons
How big is 46428768?- 46,428,768 seconds is equal to 1 year, 24 weeks, 5 days, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 46,428,768 would take you about two 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 46428768 cubic inches would be around 30 feet tall.
Recreational maths with 46428768
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 46428768 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 46428768 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/46428768/
Chicago style:
Numbermatics. 2024. "Number 46428768 - Facts about the integer". https://numbermatics.com/n/46428768/
The information we have on file for 46428768 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!
Keywords: Divisors of 46428768, math, Factors of 46428768, curriculum, school, college, exams, university, Prime factorization of 46428768, STEM, science, technology, engineering, physics, economics, calculator, forty-six million, four hundred twenty-eight thousand, seven hundred sixty-eight.