480249728
480,249,728 is an even composite number composed of five prime numbers multiplied together.
480249728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 480249728:
27 × 7 × 17 × 41 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 41 × 769)See below for interesting mathematical facts about the number 480249728 from the Numbermatics database.
Names of 480249728
- Cardinal: 480249728 can be written as Four hundred eighty million, two hundred forty-nine thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.80249728 × 108
Factors of 480249728
Divisors of 480249728
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 41 56 64 68 82 112 119 128 136 164 224 238 272 287 328 448 476 544 574 656 697 769 896 952 1088 1148 1312 1394 1538 1904 2176 2296 2624 2788 3076 3808 4592 4879 5248 5383 5576 6152 7616 9184 9758 10766 11152 12304 13073 15232 18368 19516 21532 22304 24608 26146 31529 36736 39032 43064 44608 49216 52292 63058 78064 86128 89216 91511 98432 104584 126116 156128 172256 183022 209168 220703 252232 312256 344512 366044 418336 441406 504464 535993 624512 689024 732088 836672 882812 1008928 1071986 1464176 1673344 1765624 2017856 2143972 2928352 3531248 3751951 4035712 4287944 5856704 7062496 7503902 8575888 11713408 14124992 15007804 17151776 28249984 30015608 34303552 60031216 68607104 120062432 240124864 480249728
- Sum of all divisors σ(n): 1187524800
- Sum of proper divisors (its aliquot sum) s(n): 707275072
- 480249728 is an abundant number, because the sum of its proper divisors (707275072) is greater than itself. Its abundance is 227025344
Bases of 480249728
- Binary: 111001010000000000111100000002
- Hexadecimal: 0x1CA00780
- Base-36: 7XXF28
Squares and roots of 480249728
- 480249728 squared (4802497282) is 230639801244073984
- 480249728 cubed (4802497283) is 110764701813440592427876352
-
The
square root of 480249728 is 21914.6007949039 -
The
cube root of 480249728 is 783.1092897017
Scales and comparisons
How big is 480249728?- 480,249,728 seconds is equal to 15 years, 14 weeks, 10 hours, 42 minutes, 8 seconds.
-
To count from 1 to 480,249,728 would take you about twenty-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 480249728 cubic inches would be around 65.3 feet tall.
Recreational maths with 480249728
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"Number 480249728 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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The information we have on file for 480249728 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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