48480768
48,480,768 is an even composite number composed of four prime numbers multiplied together.
48480768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred divisors.
Prime factorization of 48480768:
29 × 34 × 7 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 167)See below for interesting mathematical facts about the number 48480768 from the Numbermatics database.
Names of 48480768
- Cardinal: 48480768 can be written as Forty-eight million, four hundred eighty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.8480768 × 107
Factors of 48480768
Divisors of 48480768
- Number of divisors d(n): 200
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 167 168 189 192 216 224 252 256 288 324 334 336 378 384 432 448 501 504 512 567 576 648 668 672 756 768 864 896 1002 1008 1134 1152 1169 1296 1336 1344 1503 1512 1536 1728 1792 2004 2016 2268 2304 2338 2592 2672 2688 3006 3024 3456 3507 3584 4008 4032 4509 4536 4608 4676 5184 5344 5376 6012 6048 6912 7014 8016 8064 9018 9072 9352 10368 10521 10688 10752 12024 12096 13527 13824 14028 16032 16128 18036 18144 18704 20736 21042 21376 24048 24192 27054 28056 31563 32064 32256 36072 36288 37408 41472 42084 42752 48096 48384 54108 56112 63126 64128 72144 72576 74816 84168 85504 94689 96192 96768 108216 112224 126252 128256 144288 145152 149632 168336 189378 192384 216432 224448 252504 256512 288576 290304 299264 336672 378756 384768 432864 448896 505008 577152 598528 673344 757512 769536 865728 897792 1010016 1154304 1346688 1515024 1731456 1795584 2020032 2308608 2693376 3030048 3462912 4040064 5386752 6060096 6925824 8080128 12120192 16160256 24240384 48480768
- Sum of all divisors σ(n): 166364352
- Sum of proper divisors (its aliquot sum) s(n): 117883584
- 48480768 is an abundant number, because the sum of its proper divisors (117883584) is greater than itself. Its abundance is 69402816
Bases of 48480768
- Binary: 101110001111000010000000002
- Hexadecimal: 0x2E3C200
- Base-36: SV400
Squares and roots of 48480768
- 48480768 squared (484807682) is 2350384865869824
- 48480768 cubed (484807683) is 113948463392946055544832
-
The
square root of 48480768 is 6962.8132245523 -
The
cube root of 48480768 is 364.6334419711
Scales and comparisons
How big is 48480768?- 48,480,768 seconds is equal to 1 year, 28 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
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To count from 1 to 48,480,768 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 48480768 cubic inches would be around 30.4 feet tall.
Recreational maths with 48480768
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