45264

45,264 is an even composite number composed of four prime numbers multiplied together.

What does the number 45264 look like?

This visualization shows the relationship between its 4 prime factors (large circles) and 40 divisors.

45264 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of forty divisors.

Prime factorization of 45264:

2⁴ × 3 × 23 × 41

(2 × 2 × 2 × 2 × 3 × 23 × 41)

See below for interesting mathematical facts about the number 45264 from the Numbermatics database.

Names of 45264

Cardinal: 45264 can be written as Forty-five thousand, two hundred sixty-four.

Scientific notation

Scientific notation: 4.5264 × 10⁴

Factors of 45264

Number of distinct prime factors ω(n): 4
Total number of prime factors Ω(n): 7
Sum of prime factors: 69

Divisors of 45264

Number of divisors d(n): 40
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 41 46 48 69 82 92 123 138 164 184 246 276 328 368 492 552 656 943 984 1104 1886 1968 2829 3772 5658 7544 11316 15088 22632 45264
Sum of all divisors σ(n): 124992
Sum of proper divisors (its aliquot sum) s(n): 79728
45264 is an abundant number, because the sum of its proper divisors (79728) is greater than itself. Its abundance is 34464

Bases of 45264

Binary: 1011000011010000₂
Hexadecimal: 0xB0D0
Base-36: YXC

Squares and roots of 45264

45264 squared (45264²) is 2048829696
45264 cubed (45264³) is 92738227359744
The square root of 45264 is 212.7533783515
The cube root of 45264 is 35.6383544885

Scales and comparisons

How big is 45264?

45,264 seconds is equal to 12 hours, 34 minutes, 24 seconds.
To count from 1 to 45,264 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 45264 cubic inches would be around 3 feet tall.

Recreational maths with 45264

45264 backwards is 46254
The number of decimal digits it has is: 5
The sum of 45264's digits is 21
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/45264/?utm_source=shared">Number 45264 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/45264/?utm_source=shared]Number 45264 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 45264 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.

APA style:
Numbermatics. (2024). Number 45264 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/45264/

Chicago style:
Numbermatics. 2024. "Number 45264 - Facts about the integer". https://numbermatics.com/n/45264/

The information we have on file for 45264 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!

Keywords: Divisors of 45264, math, Factors of 45264, curriculum, school, college, exams, university, Prime factorization of 45264, STEM, science, technology, engineering, physics, economics, calculator, forty-five thousand, two hundred sixty-four.