42408

42,408 is an even composite number composed of four prime numbers multiplied together.

What does the number 42408 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 48 divisors.

42408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 42408:

2³ × 3² × 19 × 31

(2 × 2 × 2 × 3 × 3 × 19 × 31)

See below for interesting mathematical facts about the number 42408 from the Numbermatics database.

Names of 42408

Cardinal: 42408 can be written as Forty-two thousand, four hundred eight.

Scientific notation

Scientific notation: 4.2408 × 10⁴

Factors of 42408

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 55

Divisors of 42408

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3534 4712 5301 7068 10602 14136 21204 42408
Sum of all divisors σ(n): 124800
Sum of proper divisors (its aliquot sum) s(n): 82392
42408 is an abundant number, because the sum of its proper divisors (82392) is greater than itself. Its abundance is 39984

Bases of 42408

Binary: 1010010110101000₂
Hexadecimal: 0xA5A8
Base-36: WQ0

Squares and roots of 42408

42408 squared (42408²) is 1798438464
42408 cubed (42408³) is 76268178381312
The square root of 42408 is 205.9320276207
The cube root of 42408 is 34.8724609861

Scales and comparisons

How big is 42408?

42,408 seconds is equal to 11 hours, 46 minutes, 48 seconds.
To count from 1 to 42,408 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 42408 cubic inches would be around 2.9 feet tall.

Recreational maths with 42408

42408 backwards is 80424
42408 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 42408's digits is 18
More coming soon!

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The information we have on file for 42408 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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