# 4049

## 4,049 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 4049 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

4049 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 4049:

### 4049

See below for interesting mathematical facts about the number 4049 from the Numbermatics database.

### Names of 4049

• Cardinal: 4049 can be written as Four thousand and forty-nine.

### Scientific notation

• Scientific notation: 4.049 × 103

### Factors of 4049

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 4049

### Divisors of 4049

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 4050
• Sum of proper divisors (its aliquot sum) s(n): 1
• 4049 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 4048

### Bases of 4049

• Binary: 1111110100012
• Base-36: 34H

### Squares and roots of 4049

• 4049 squared (40492) is 16394401
• 4049 cubed (40493) is 66380929649
• The square root of 4049 is 63.6317530799
• The cube root of 4049 is 15.9385665053

### Scales and comparisons

How big is 4049?
• 4,049 seconds is equal to 1 hour, 7 minutes, 29 seconds.
• To count from 1 to 4,049 would take you about seven 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 4049 cubic inches would be around 1.3 feet tall.

### Recreational maths with 4049

• 4049 backwards is 9404
• 4049 is a twin prime! Its twin is 4051
• The number of decimal digits it has is: 4
• The sum of 4049's digits is 17
• More coming soon!