42648100
42,648,100 is an even composite number composed of five prime numbers multiplied together.
42648100 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 42648100:
22 × 52 × 11 × 137 × 283
(2 × 2 × 5 × 5 × 11 × 137 × 283)See below for interesting mathematical facts about the number 42648100 from the Numbermatics database.
Names of 42648100
- Cardinal: 42648100 can be written as Forty-two million, six hundred forty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 4.26481 × 107
Factors of 42648100
Divisors of 42648100
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 5 10 11 20 22 25 44 50 55 100 110 137 220 274 275 283 548 550 566 685 1100 1132 1370 1415 1507 2740 2830 3014 3113 3425 5660 6028 6226 6850 7075 7535 12452 13700 14150 15070 15565 28300 30140 31130 37675 38771 62260 75350 77542 77825 150700 155084 155650 193855 311300 387710 426481 775420 852962 969275 1705924 1938550 2132405 3877100 4264810 8529620 10662025 21324050 42648100
- Sum of all divisors σ(n): 102055968
- Sum of proper divisors (its aliquot sum) s(n): 59407868
- 42648100 is an abundant number, because the sum of its proper divisors (59407868) is greater than itself. Its abundance is 16759768
Bases of 42648100
- Binary: 101000101011000010001001002
- Hexadecimal: 0x28AC224
- Base-36: PE3HG
Squares and roots of 42648100
- 42648100 squared (426481002) is 1818860433610000
- 42648100 cubed (426481003) is 77570941658642641000000
-
The
square root of 42648100 is 6530.5512784145 -
The
cube root of 42648100 is 349.3814926741
Scales and comparisons
How big is 42648100?- 42,648,100 seconds is equal to 1 year, 18 weeks, 3 days, 14 hours, 41 minutes, 40 seconds.
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To count from 1 to 42,648,100 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 42648100 cubic inches would be around 29.1 feet tall.
Recreational maths with 42648100
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