42264

42,264 is an even composite number composed of three prime numbers multiplied together.

What does the number 42264 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

42264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 42264:

2³ × 3² × 587

(2 × 2 × 2 × 3 × 3 × 587)

See below for interesting mathematical facts about the number 42264 from the Numbermatics database.

Names of 42264

Cardinal: 42264 can be written as Forty-two thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 4.2264 × 10⁴

Factors of 42264

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 6
Sum of prime factors: 592

Divisors of 42264

Number of divisors d(n): 24
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 36 72 587 1174 1761 2348 3522 4696 5283 7044 10566 14088 21132 42264
Sum of all divisors σ(n): 114660
Sum of proper divisors (its aliquot sum) s(n): 72396
42264 is an abundant number, because the sum of its proper divisors (72396) is greater than itself. Its abundance is 30132

Bases of 42264

Binary: 1010010100011000₂
Hexadecimal: 0xA518
Base-36: WM0

Squares and roots of 42264

42264 squared (42264²) is 1786245696
42264 cubed (42264³) is 75493888095744
The square root of 42264 is 205.5821003881
The cube root of 42264 is 34.8329454157

Scales and comparisons

How big is 42264?

42,264 seconds is equal to 11 hours, 44 minutes, 24 seconds.
To count from 1 to 42,264 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 42264 cubic inches would be around 2.9 feet tall.

Recreational maths with 42264

42264 backwards is 46224
42264 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 42264's digits is 18
More coming soon!

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The information we have on file for 42264 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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