46656

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

• 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!