# 59049

## 59,049 is an odd composite number. It is composed of a single prime number multiplied by itself nine times.

What does the number 59049 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 11 divisors.

59049 is an odd composite number. It is composed of one distinct prime number multiplied by itself nine times. It has a total of eleven divisors.

## Prime factorization of 59049:

### 310

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

See below for interesting mathematical facts about the number 59049 from the Numbermatics database.

### Names of 59049

• Cardinal: 59049 can be written as Fifty-nine thousand and forty-nine.

### Scientific notation

• Scientific notation: 5.9049 × 104

### Factors of 59049

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 3

### Divisors of 59049

• Number of divisors d(n): 11
• Complete list of divisors:
• Sum of all divisors σ(n): 88573
• Sum of proper divisors (its aliquot sum) s(n): 29524
• 59049 is a deficient number, because the sum of its proper divisors (29524) is less than itself. Its deficiency is 29525

### Bases of 59049

• Binary: 11100110101010012
• Base-36: 19K9

### Squares and roots of 59049

• 59049 squared (590492) is 3486784401
• 59049 cubed (590493) is 205891132094649
• 59049 is a perfect square number. Its square root is 243
• The cube root of 59049 is 38.9407383983

### Scales and comparisons

How big is 59049?
• 59,049 seconds is equal to 16 hours, 24 minutes, 9 seconds.
• To count from 1 to 59,049 would take you about sixteen 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 59049 cubic inches would be around 3.2 feet tall.

### Recreational maths with 59049

• 59049 backwards is 94095
• 59049 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 59049's digits is 27
• More coming soon!