42480

42,480 is an even composite number composed of four prime numbers multiplied together.

What does the number 42480 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.

42480 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.

Prime factorization of 42480:

2⁴ × 3² × 5 × 59

(2 × 2 × 2 × 2 × 3 × 3 × 5 × 59)

See below for interesting mathematical facts about the number 42480 from the Numbermatics database.

Names of 42480

Cardinal: 42480 can be written as Forty-two thousand, four hundred eighty.

Scientific notation

Scientific notation: 4.248 × 10⁴

Factors of 42480

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 69

Divisors of 42480

Number of divisors d(n): 60
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480
Sum of all divisors σ(n): 145080
Sum of proper divisors (its aliquot sum) s(n): 102600
42480 is an abundant number, because the sum of its proper divisors (102600) is greater than itself. Its abundance is 60120

Bases of 42480

Binary: 1010010111110000₂
Hexadecimal: 0xA5F0
Base-36: WS0

Squares and roots of 42480

42480 squared (42480²) is 1804550400
42480 cubed (42480³) is 76657300992000
The square root of 42480 is 206.1067684477
The cube root of 42480 is 34.8921852329

Scales and comparisons

How big is 42480?

42,480 seconds is equal to 11 hours, 48 minutes.
To count from 1 to 42,480 would take you about eleven hours.

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 42480 cubic inches would be around 2.9 feet tall.

Recreational maths with 42480

42480 backwards is 08424
42480 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 42480's digits is 18
More coming soon!

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The information we have on file for 42480 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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