# 1049

## 1,049 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 1049 look like?

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

1049 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 1049:

### 1049

See below for interesting mathematical facts about the number 1049 from the Numbermatics database.

### Names of 1049

• Cardinal: 1049 can be written as One thousand and forty-nine.

### Scientific notation

• Scientific notation: 1.049 × 103

### Factors of 1049

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 1049

### Divisors of 1049

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 1050
• Sum of proper divisors (its aliquot sum) s(n): 1
• 1049 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 1048

### Bases of 1049

• Binary: 100000110012
• Base-36: T5

### Squares and roots of 1049

• 1049 squared (10492) is 1100401
• 1049 cubed (10493) is 1154320649
• The square root of 1049 is 32.3882694815
• The cube root of 1049 is 10.1607358883

### Scales and comparisons

How big is 1049?
• 1,049 seconds is equal to 17 minutes, 29 seconds.
• To count from 1 to 1,049 would take you about seventeen 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 1049 cubic inches would be around 0.8 feet tall.

### Recreational maths with 1049

• 1049 backwards is 9401
• 1049 is a twin prime! Its twin is 1051
• The number of decimal digits it has is: 4
• The sum of 1049's digits is 14
• More coming soon!