42072

42,072 is an even composite number composed of three prime numbers multiplied together.

What does the number 42072 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

42072 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 42072:

2³ × 3 × 1753

(2 × 2 × 2 × 3 × 1753)

See below for interesting mathematical facts about the number 42072 from the Numbermatics database.

Names of 42072

Cardinal: 42072 can be written as Forty-two thousand and seventy-two.

Scientific notation

Scientific notation: 4.2072 × 10⁴

Factors of 42072

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 5
Sum of prime factors: 1758

Divisors of 42072

Number of divisors d(n): 16
Complete list of divisors:
1 2 3 4 6 8 12 24 1753 3506 5259 7012 10518 14024 21036 42072
Sum of all divisors σ(n): 105240
Sum of proper divisors (its aliquot sum) s(n): 63168
42072 is an abundant number, because the sum of its proper divisors (63168) is greater than itself. Its abundance is 21096

Bases of 42072

Binary: 1010010001011000₂
Hexadecimal: 0xA458
Base-36: WGO

Squares and roots of 42072

42072 squared (42072²) is 1770053184
42072 cubed (42072³) is 74469677557248
The square root of 42072 is 205.1146021129
The cube root of 42072 is 34.7801181187

Scales and comparisons

How big is 42072?

42,072 seconds is equal to 11 hours, 41 minutes, 12 seconds.
To count from 1 to 42,072 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 42072 cubic inches would be around 2.9 feet tall.

Recreational maths with 42072

42072 backwards is 27024
The number of decimal digits it has is: 5
The sum of 42072's digits is 15
More coming soon!

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The information we have on file for 42072 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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