45472

45,472 is an even composite number composed of three prime numbers multiplied together.

What does the number 45472 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 36 divisors.

45472 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-six divisors.

Prime factorization of 45472:

2⁵ × 7² × 29

(2 × 2 × 2 × 2 × 2 × 7 × 7 × 29)

See below for interesting mathematical facts about the number 45472 from the Numbermatics database.

Names of 45472

Cardinal: 45472 can be written as Forty-five thousand, four hundred seventy-two.

Scientific notation

Scientific notation: 4.5472 × 10⁴

Factors of 45472

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 38

Divisors of 45472

Number of divisors d(n): 36
Complete list of divisors:
1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 1421 1568 1624 2842 3248 5684 6496 11368 22736 45472
Sum of all divisors σ(n): 107730
Sum of proper divisors (its aliquot sum) s(n): 62258
45472 is an abundant number, because the sum of its proper divisors (62258) is greater than itself. Its abundance is 16786

Bases of 45472

Binary: 1011000110100000₂
Hexadecimal: 0xB1A0
Base-36: Z34

Squares and roots of 45472

45472 squared (45472²) is 2067702784
45472 cubed (45472³) is 94022580994048
The square root of 45472 is 213.2416469643
The cube root of 45472 is 35.6928602919

Scales and comparisons

How big is 45472?

45,472 seconds is equal to 12 hours, 37 minutes, 52 seconds.
To count from 1 to 45,472 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 45472 cubic inches would be around 3 feet tall.

Recreational maths with 45472

45472 backwards is 27454
The number of decimal digits it has is: 5
The sum of 45472's digits is 22
More coming soon!

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The information we have on file for 45472 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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