The number 49448
49448 is a composite number with 16 divisors. Its prime factorisation is × 7 × 883. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 883, 1766, 3532, 6181, 7064, 12362, 24724, 49448.
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How to work it out
- 1
What is special about 49448: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49448 is composite. Its prime factorisation is
- 3
The divisors add up to 106080; without 49448 itself that is 56632, so 49448 is abundant (56632 is more than 49448). Euler's totient φ(49448) = 21168 numbers up to 49448 share no factor with it.
- 4
The digits of 49448 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49448 = 2^{3} \times 7 \times 883 \]49448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106080 |
| Euler totient φ(n) | 21168 |
| Square | 2445104704 |
| Cube | 120905537403392 |
| Square root | 222.369063 (= 2√12362) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9448 × |
49448 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and forty-eight |
| Binary (base 2) | 1100000100101000 |
| Octal (base 8) | 140450 |
| Hexadecimal (base 16) | C128 |
| Base 3 | 2111211102 |
| As time | 49448 seconds = 13 h 44 min 8 s |
Is 49448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49448 ÷ 2 = 24724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49448 ÷ 4 = 12362) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49448 ÷ 7 = 7064) | 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 (49448 ÷ 8 = 6181) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49448 a prime number?
No. 49448 = × 7 × 883, so it is divisible by 2.
What are the factors of 49448?
1, 2, 4, 7, 8, 14, 28, 56, 883, 1766, 3532, 6181, 7064, 12362, 24724, 49448.
What is 49448 in binary?
1100000100101000 (hexadecimal C128, octal 140450).
What is the square root of 49448?
About 222.3691, exactly 2√12362.
Is 49448 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 49448?
49448 is a happy number: repeatedly adding the squares of its digits reaches 1.