The number 48448
48448 is a composite number with 14 divisors. Its prime factorisation is × 757. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 757, 1514, 3028, 6056, 12112, 24224, 48448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48448: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48448 is composite. Its prime factorisation is
- 3
The divisors add up to 96266; without 48448 itself that is 47818, so 48448 is deficient (47818 is less than 48448). Euler's totient φ(48448) = 24192 numbers up to 48448 share no factor with it.
- 4
The digits of 48448 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48448 = 2^{6} \times 757 \]48448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 96266 |
| Euler totient φ(n) | 24192 |
| Square | 2347208704 |
| Cube | 113717567291392 |
| Square root | 220.109064 (= 8√757) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8448 × |
48448 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and forty-eight |
| Binary (base 2) | 1011110101000000 |
| Octal (base 8) | 136500 |
| Hexadecimal (base 16) | BD40 |
| Base 3 | 2110110101 |
| As time | 48448 seconds = 13 h 27 min 28 s |
Is 48448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48448 ÷ 2 = 24224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48448 ÷ 4 = 12112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (48448 ÷ 8 = 6056) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48448 a prime number?
No. 48448 = × 757, so it is divisible by 2.
What are the factors of 48448?
1, 2, 4, 8, 16, 32, 64, 757, 1514, 3028, 6056, 12112, 24224, 48448.
What is 48448 in binary?
1011110101000000 (hexadecimal BD40, octal 136500).
What is the square root of 48448?
About 220.1091, exactly 8√757.
Is 48448 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48448?
48448 is a happy number: repeatedly adding the squares of its digits reaches 1.