48225600
48,225,600 is an even composite number composed of five prime numbers multiplied together.
48225600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 48225600:
26 × 32 × 52 × 17 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 17 × 197)See below for interesting mathematical facts about the number 48225600 from the Numbermatics database.
Names of 48225600
- Cardinal: 48225600 can be written as Forty-eight million, two hundred twenty-five thousand, six hundred.
Scientific notation
- Scientific notation: 4.82256 × 107
Factors of 48225600
Divisors of 48225600
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 136 144 150 153 160 170 180 192 197 200 204 225 240 255 272 288 300 306 320 340 360 394 400 408 425 450 480 510 544 576 591 600 612 680 720 765 788 800 816 850 900 960 985 1020 1088 1182 1200 1224 1275 1360 1440 1530 1576 1600 1632 1700 1773 1800 1970 2040 2364 2400 2448 2550 2720 2880 2955 3060 3152 3264 3349 3400 3546 3600 3825 3940 4080 4728 4800 4896 4925 5100 5440 5910 6120 6304 6698 6800 7092 7200 7650 7880 8160 8865 9456 9792 9850 10047 10200 11820 12240 12608 13396 13600 14184 14400 14775 15300 15760 16320 16745 17730 18912 19700 20094 20400 23640 24480 26792 27200 28368 29550 30141 30600 31520 33490 35460 37824 39400 40188 40800 44325 47280 48960 50235 53584 56736 59100 60282 61200 63040 66980 70920 78800 80376 81600 83725 88650 94560 100470 107168 113472 118200 120564 122400 133960 141840 150705 157600 160752 167450 177300 189120 200940 214336 236400 241128 244800 251175 267920 283680 301410 315200 321504 334900 354600 401880 472800 482256 502350 535840 567360 602820 643008 669800 709200 753525 803760 945600 964512 1004700 1071680 1205640 1339600 1418400 1507050 1607520 1929024 2009400 2411280 2679200 2836800 3014100 3215040 4018800 4822560 5358400 6028200 8037600 9645120 12056400 16075200 24112800 48225600
- Sum of all divisors σ(n): 182409084
- Sum of proper divisors (its aliquot sum) s(n): 134183484
- 48225600 is an abundant number, because the sum of its proper divisors (134183484) is greater than itself. Its abundance is 85957884
Bases of 48225600
- Binary: 101101111111011101010000002
- Hexadecimal: 0x2DFDD40
- Base-36: SPN40
Squares and roots of 48225600
- 48225600 squared (482256002) is 2325708495360000
- 48225600 cubed (482256003) is 112158687613833216000000
-
The
square root of 48225600 is 6944.4654221903 -
The
cube root of 48225600 is 363.9925933363
Scales and comparisons
How big is 48225600?- 48,225,600 seconds is equal to 1 year, 27 weeks, 5 days, 4 hours.
-
To count from 1 to 48,225,600 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 48225600 cubic inches would be around 30.3 feet tall.
Recreational maths with 48225600
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The information we have on file for 48225600 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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