The number 49478
49478 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 13 × 173. Divisors (16): 1, 2, 11, 13, 22, 26, 143, 173, 286, 346, 1903, 2249, 3806, 4498, 24739, 49478.
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How to work it out
- 1
What is special about 49478: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49478 is composite. Its prime factorisation is
- 3
The divisors add up to 87696; without 49478 itself that is 38218, so 49478 is deficient (38218 is less than 49478). Euler's totient φ(49478) = 20640 numbers up to 49478 share no factor with it.
- 4
The digits of 49478 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49478 = 2 \times 11 \times 13 \times 173 \]
49478 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87696 |
| Euler totient φ(n) | 20640 |
| Square | 2448072484 |
| Cube | 121125730363352 |
| Square root | 222.436508 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9478 × |
49478 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and seventy-eight |
| Binary (base 2) | 1100000101000110 |
| Octal (base 8) | 140506 |
| Hexadecimal (base 16) | C146 |
| Base 3 | 2111212112 |
| As time | 49478 seconds = 13 h 44 min 38 s |
Is 49478 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49478 ÷ 2 = 24739) | 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 | No (remainder 2) | 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 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (49478 ÷ 11 = 4498) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49478 a prime number?
No. 49478 = 2 × 11 × 13 × 173, so it is divisible by 2.
What are the factors of 49478?
1, 2, 11, 13, 22, 26, 143, 173, 286, 346, 1903, 2249, 3806, 4498, 24739, 49478.
What is 49478 in binary?
1100000101000110 (hexadecimal C146, octal 140506).
What is the square root of 49478?
About 222.4365.
Is 49478 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49478?
49478 is a happy number: repeatedly adding the squares of its digits reaches 1.