32448

32,448 is an even composite number composed of three prime numbers multiplied together.

What does the number 32448 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 42 divisors.

32448 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-two divisors.

Prime factorization of 32448:

2⁶ × 3 × 13²

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13)

See below for interesting mathematical facts about the number 32448 from the Numbermatics database.

Names of 32448

Cardinal: 32448 can be written as Thirty-two thousand, four hundred forty-eight.

Scientific notation

Scientific notation: 3.2448 × 10⁴

Factors of 32448

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 18

Divisors of 32448

Number of divisors d(n): 42
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 4056 5408 8112 10816 16224 32448
Sum of all divisors σ(n): 92964
Sum of proper divisors (its aliquot sum) s(n): 60516
32448 is an abundant number, because the sum of its proper divisors (60516) is greater than itself. Its abundance is 28068

Bases of 32448

Binary: 111111011000000₂
Hexadecimal: 0x7EC0
Base-36: P1C

Squares and roots of 32448

32448 squared (32448²) is 1052872704
32448 cubed (32448³) is 34163613499392
The square root of 32448 is 180.1332839871
The cube root of 32448 is 31.8954923975

Scales and comparisons

How big is 32448?

32,448 seconds is equal to 9 hours, 48 seconds.
To count from 1 to 32,448 would take you about nine 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 32448 cubic inches would be around 2.7 feet tall.

Recreational maths with 32448

32448 backwards is 84423
The number of decimal digits it has is: 5
The sum of 32448's digits is 21
More coming soon!

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The information we have on file for 32448 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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