147648

147,648 is an even composite number composed of three prime numbers multiplied together.

What does the number 147648 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

147648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 147648:

2⁶ × 3 × 769

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 769)

See below for interesting mathematical facts about the number 147648 from the Numbermatics database.

Names of 147648

Cardinal: 147648 can be written as One hundred forty-seven thousand, six hundred forty-eight.

Scientific notation

Scientific notation: 1.47648 × 10⁵

Factors of 147648

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 774

Divisors of 147648

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 192 769 1538 2307 3076 4614 6152 9228 12304 18456 24608 36912 49216 73824 147648
Sum of all divisors σ(n): 391160
Sum of proper divisors (its aliquot sum) s(n): 243512
147648 is an abundant number, because the sum of its proper divisors (243512) is greater than itself. Its abundance is 95864

Bases of 147648

Binary: 100100000011000000₂
Hexadecimal: 0x240C0
Base-36: 35XC

Squares and roots of 147648

147648 squared (147648²) is 21799931904
147648 cubed (147648³) is 3218716345761792
The square root of 147648 is 384.2499186727
The cube root of 147648 is 52.8537560875

Scales and comparisons

How big is 147648?

147,648 seconds is equal to 1 day, 17 hours, 48 seconds.
To count from 1 to 147,648 would take you about seventeen 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 147648 cubic inches would be around 4.4 feet tall.

Recreational maths with 147648

147648 backwards is 846741
The number of decimal digits it has is: 6
The sum of 147648's digits is 30
More coming soon!

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The information we have on file for 147648 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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