45504

45,504 is an even composite number composed of three prime numbers multiplied together.

What does the number 45504 look like?

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

45504 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 45504:

2⁶ × 3² × 79

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 79)

See below for interesting mathematical facts about the number 45504 from the Numbermatics database.

Names of 45504

Cardinal: 45504 can be written as Forty-five thousand, five hundred four.

Scientific notation

Scientific notation: 4.5504 × 10⁴

Factors of 45504

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 84

Divisors of 45504

Number of divisors d(n): 42
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1896 2528 2844 3792 5056 5688 7584 11376 15168 22752 45504
Sum of all divisors σ(n): 132080
Sum of proper divisors (its aliquot sum) s(n): 86576
45504 is an abundant number, because the sum of its proper divisors (86576) is greater than itself. Its abundance is 41072

Bases of 45504

Binary: 1011000111000000₂
Hexadecimal: 0xB1C0
Base-36: Z40

Squares and roots of 45504

45504 squared (45504²) is 2070614016
45504 cubed (45504³) is 94221220184064
The square root of 45504 is 213.3166660155
The cube root of 45504 is 35.7012310383

Scales and comparisons

How big is 45504?

45,504 seconds is equal to 12 hours, 38 minutes, 24 seconds.
To count from 1 to 45,504 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 45504 cubic inches would be around 3 feet tall.

Recreational maths with 45504

45504 backwards is 40554
45504 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 45504's digits is 18
More coming soon!

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The information we have on file for 45504 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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