46656

46,656 is an even composite number composed of two prime numbers multiplied together.

What does the number 46656 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 49 divisors.

46656 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of forty-nine divisors.

Prime factorization of 46656:

2⁶ × 3⁶

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 46656 from the Numbermatics database.

Names of 46656

Cardinal: 46656 can be written as Forty-six thousand, six hundred fifty-six.

Scientific notation

Scientific notation: 4.6656 × 10⁴

Factors of 46656

Number of distinct prime factors ω(n): 2
Total number of prime factors Ω(n): 12
Sum of prime factors: 5

Divisors of 46656

Number of divisors d(n): 49
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 23328 46656
Sum of all divisors σ(n): 138811
Sum of proper divisors (its aliquot sum) s(n): 92155
46656 is an abundant number, because the sum of its proper divisors (92155) is greater than itself. Its abundance is 45499

Bases of 46656

Binary: 1011011001000000₂
Hexadecimal: 0xB640
Base-36: 1000

Squares and roots of 46656

46656 squared (46656²) is 2176782336
46656 cubed (46656³) is 101559956668416
46656 is a perfect square number. Its square root is 216
46656 is a perfect cube number. Its cube root is 36
Being both a perfect square and a perfect cube, 46656 is also a perfect sixth number.

Scales and comparisons

How big is 46656?

46,656 seconds is equal to 12 hours, 57 minutes, 36 seconds.
To count from 1 to 46,656 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 46656 cubic inches would be around 3 feet tall.

Recreational maths with 46656

46656 backwards is 65664
46656 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 46656's digits is 27
More coming soon!

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The information we have on file for 46656 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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