# 1948

## 1,948 is an even composite number composed of two prime numbers multiplied together.

What does the number 1948 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 6 divisors.

1948 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of six divisors.

## Prime factorization of 1948:

### 22 × 487

(2 × 2 × 487)

See below for interesting mathematical facts about the number 1948 from the Numbermatics database.

### Names of 1948

• Cardinal: 1948 can be written as One thousand, nine hundred forty-eight.

### Scientific notation

• Scientific notation: 1.948 × 103

### Factors of 1948

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 3
• Sum of prime factors: 489

### Divisors of 1948

• Number of divisors d(n): 6
• Complete list of divisors:
• Sum of all divisors σ(n): 3416
• Sum of proper divisors (its aliquot sum) s(n): 1468
• 1948 is a deficient number, because the sum of its proper divisors (1468) is less than itself. Its deficiency is 480

### Bases of 1948

• Binary: 111100111002
• Base-36: 1I4

### Squares and roots of 1948

• 1948 squared (19482) is 3794704
• 1948 cubed (19483) is 7392083392
• The square root of 1948 is 44.1361529815
• The cube root of 1948 is 12.4890570897

### Scales and comparisons

How big is 1948?
• 1,948 seconds is equal to 32 minutes, 28 seconds.
• To count from 1 to 1,948 would take you about thirty-two 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 1948 cubic inches would be around 1 feet tall.

### Recreational maths with 1948

• 1948 backwards is 8491
• The number of decimal digits it has is: 4
• The sum of 1948's digits is 22
• More coming soon!

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The information we have on file for 1948 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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