# 2049

## 2,049 is an odd composite number composed of two prime numbers multiplied together.

What does the number 2049 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 4 divisors.

2049 is an odd composite number. It is composed of two distinct prime numbers multiplied together. It has a total of four divisors.

## Prime factorization of 2049:

### 3 × 683

See below for interesting mathematical facts about the number 2049 from the Numbermatics database.

### Names of 2049

• Cardinal: 2049 can be written as Two thousand and forty-nine.

### Scientific notation

• Scientific notation: 2.049 × 103

### Factors of 2049

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 2
• Sum of prime factors: 686

### Divisors of 2049

• Number of divisors d(n): 4
• Complete list of divisors:
• Sum of all divisors σ(n): 2736
• Sum of proper divisors (its aliquot sum) s(n): 687
• 2049 is a deficient number, because the sum of its proper divisors (687) is less than itself. Its deficiency is 1362

### Bases of 2049

• Binary: 1000000000012
• Base-36: 1KX

### Squares and roots of 2049

• 2049 squared (20492) is 4198401
• 2049 cubed (20493) is 8602523649
• The square root of 2049 is 45.2658811911
• The cube root of 2049 is 12.7012750077

### Scales and comparisons

How big is 2049?
• 2,049 seconds is equal to 34 minutes, 9 seconds.
• To count from 1 to 2,049 would take you about thirty-four minutes.

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 2049 cubic inches would be around 1.1 feet tall.

### Recreational maths with 2049

• 2049 backwards is 9402
• The number of decimal digits it has is: 4
• The sum of 2049's digits is 15
• More coming soon!