39072

39,072 is an even composite number composed of four prime numbers multiplied together.

What does the number 39072 look like?

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

39072 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 39072:

2⁵ × 3 × 11 × 37

(2 × 2 × 2 × 2 × 2 × 3 × 11 × 37)

See below for interesting mathematical facts about the number 39072 from the Numbermatics database.

Names of 39072

Cardinal: 39072 can be written as Thirty-nine thousand and seventy-two.

Scientific notation

Scientific notation: 3.9072 × 10⁴

Factors of 39072

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 8
Sum of prime factors: 53

Divisors of 39072

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 19536 39072
Sum of all divisors σ(n): 114912
Sum of proper divisors (its aliquot sum) s(n): 75840
39072 is an abundant number, because the sum of its proper divisors (75840) is greater than itself. Its abundance is 36768

Bases of 39072

Binary: 1001100010100000₂
Hexadecimal: 0x98A0
Base-36: U5C

Squares and roots of 39072

39072 squared (39072²) is 1526621184
39072 cubed (39072³) is 59648142901248
The square root of 39072 is 197.6663856097
The cube root of 39072 is 33.9329705943

Scales and comparisons

How big is 39072?

39,072 seconds is equal to 10 hours, 51 minutes, 12 seconds.
To count from 1 to 39,072 would take you about ten 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 39072 cubic inches would be around 2.8 feet tall.

Recreational maths with 39072

39072 backwards is 27093
The number of decimal digits it has is: 5
The sum of 39072's digits is 21
More coming soon!

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The information we have on file for 39072 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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