45084

45,084 is an even composite number composed of four prime numbers multiplied together.

What does the number 45084 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 36 divisors.

45084 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 45084:

2² × 3 × 13 × 17²

(2 × 2 × 3 × 13 × 17 × 17)

See below for interesting mathematical facts about the number 45084 from the Numbermatics database.

Names of 45084

Cardinal: 45084 can be written as Forty-five thousand and eighty-four.

Scientific notation

Scientific notation: 4.5084 × 10⁴

Factors of 45084

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 6
Sum of prime factors: 35

Divisors of 45084

Number of divisors d(n): 36
Complete list of divisors:
1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 289 442 578 663 867 884 1156 1326 1734 2652 3468 3757 7514 11271 15028 22542 45084
Sum of all divisors σ(n): 120344
Sum of proper divisors (its aliquot sum) s(n): 75260
45084 is an abundant number, because the sum of its proper divisors (75260) is greater than itself. Its abundance is 30176

Bases of 45084

Binary: 1011000000011100₂
Hexadecimal: 0xB01C
Base-36: YSC

Squares and roots of 45084

45084 squared (45084²) is 2032567056
45084 cubed (45084³) is 91636253152704
The square root of 45084 is 212.3299319455
The cube root of 45084 is 35.5910510689

Scales and comparisons

How big is 45084?

45,084 seconds is equal to 12 hours, 31 minutes, 24 seconds.
To count from 1 to 45,084 would take you about twelve 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 45084 cubic inches would be around 3 feet tall.

Recreational maths with 45084

45084 backwards is 48054
The number of decimal digits it has is: 5
The sum of 45084's digits is 21
More coming soon!

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The information we have on file for 45084 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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