The number 49626
49626 is a composite number with 16 divisors. Its prime factorisation is 2 × × 919. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 919, 1838, 2757, 5514, 8271, 16542, 24813, 49626.
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How to work it out
- 1
What is special about 49626: a Harshad number: divisible by its digit sum 27.
- 2
49626 is composite. Its prime factorisation is
- 3
The divisors add up to 110400; without 49626 itself that is 60774, so 49626 is abundant (60774 is more than 49626). Euler's totient φ(49626) = 16524 numbers up to 49626 share no factor with it.
- 4
The digits of 49626 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49626 = 2 \times 3^{3} \times 919 \]49626 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 110400 |
| Euler totient φ(n) | 16524 |
| Square | 2462739876 |
| Cube | 122215929086376 |
| Square root | 222.768939 (= 3√5514) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9626 × |
49626 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and twenty-six |
| Binary (base 2) | 1100000111011010 |
| Octal (base 8) | 140732 |
| Hexadecimal (base 16) | C1DA |
| Base 3 | 2112002000 |
| As time | 49626 seconds = 13 h 47 min 6 s |
Is 49626 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49626 ÷ 2 = 24813) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49626 ÷ 3 = 16542) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49626 ÷ 6 = 8271) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49626 ÷ 9 = 5514) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49626 a prime number?
No. 49626 = 2 × × 919, so it is divisible by 2.
What are the factors of 49626?
1, 2, 3, 6, 9, 18, 27, 54, 919, 1838, 2757, 5514, 8271, 16542, 24813, 49626.
What is 49626 in binary?
1100000111011010 (hexadecimal C1DA, octal 140732).
What is the square root of 49626?
About 222.7689, exactly 3√5514.
Is 49626 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49626?
49626 is a Harshad number: divisible by its digit sum 27.