45072

45,072 is an even composite number composed of three prime numbers multiplied together.

What does the number 45072 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 30 divisors.

45072 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty divisors.

Prime factorization of 45072:

2⁴ × 3² × 313

(2 × 2 × 2 × 2 × 3 × 3 × 313)

See below for interesting mathematical facts about the number 45072 from the Numbermatics database.

Names of 45072

Cardinal: 45072 can be written as Forty-five thousand and seventy-two.

Scientific notation

Scientific notation: 4.5072 × 10⁴

Factors of 45072

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 7
Sum of prime factors: 318

Divisors of 45072

Number of divisors d(n): 30
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 313 626 939 1252 1878 2504 2817 3756 5008 5634 7512 11268 15024 22536 45072
Sum of all divisors σ(n): 126542
Sum of proper divisors (its aliquot sum) s(n): 81470
45072 is an abundant number, because the sum of its proper divisors (81470) is greater than itself. Its abundance is 36398

Bases of 45072

Binary: 1011000000010000₂
Hexadecimal: 0xB010
Base-36: YS0

Squares and roots of 45072

45072 squared (45072²) is 2031485184
45072 cubed (45072³) is 91563100213248
The square root of 45072 is 212.3016721555
The cube root of 45072 is 35.5878930341

Scales and comparisons

How big is 45072?

45,072 seconds is equal to 12 hours, 31 minutes, 12 seconds.
To count from 1 to 45,072 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 45072 cubic inches would be around 3 feet tall.

Recreational maths with 45072

45072 backwards is 27054
45072 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 45072's digits is 18
More coming soon!

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The information we have on file for 45072 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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