47488

47,488 is an even composite number composed of three prime numbers multiplied together.

What does the number 47488 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

47488 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

Prime factorization of 47488:

2⁷ × 7 × 53

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 53)

See below for interesting mathematical facts about the number 47488 from the Numbermatics database.

Names of 47488

Cardinal: 47488 can be written as Forty-seven thousand, four hundred eighty-eight.

Scientific notation

Scientific notation: 4.7488 × 10⁴

Factors of 47488

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 9
Sum of prime factors: 62

Divisors of 47488

Number of divisors d(n): 32
Complete list of divisors:
1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2968 3392 5936 6784 11872 23744 47488
Sum of all divisors σ(n): 110160
Sum of proper divisors (its aliquot sum) s(n): 62672
47488 is an abundant number, because the sum of its proper divisors (62672) is greater than itself. Its abundance is 15184

Bases of 47488

Binary: 1011100110000000₂
Hexadecimal: 0xB980
Base-36: 10N4

Squares and roots of 47488

47488 squared (47488²) is 2255110144
47488 cubed (47488³) is 107090670518272
The square root of 47488 is 217.9174155501
The cube root of 47488 is 36.2127322103

Scales and comparisons

How big is 47488?

47,488 seconds is equal to 13 hours, 11 minutes, 28 seconds.
To count from 1 to 47,488 would take you about thirteen 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 47488 cubic inches would be around 3 feet tall.

Recreational maths with 47488

47488 backwards is 88474
The number of decimal digits it has is: 5
The sum of 47488's digits is 31
More coming soon!

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The information we have on file for 47488 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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