The number 49014
49014 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 389. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 389, 778, 1167, 2334 … 49014.
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How to work it out
- 1
What is special about 49014: a Harshad number: divisible by its digit sum 18.
- 2
49014 is composite. Its prime factorisation is
- 3
The divisors add up to 121680; without 49014 itself that is 72666, so 49014 is abundant (72666 is more than 49014). Euler's totient φ(49014) = 13968 numbers up to 49014 share no factor with it.
- 4
The digits of 49014 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49014 = 2 \times 3^{2} \times 7 \times 389 \]49014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 121680 |
| Euler totient φ(n) | 13968 |
| Square | 2402372196 |
| Cube | 117749870814744 |
| Square root | 221.391057 (= 3√5446) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9014 × |
49014 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and fourteen |
| Binary (base 2) | 1011111101110110 |
| Octal (base 8) | 137566 |
| Hexadecimal (base 16) | BF76 |
| Base 3 | 2111020100 |
| As time | 49014 seconds = 13 h 36 min 54 s |
Is 49014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49014 ÷ 2 = 24507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49014 ÷ 3 = 16338) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49014 ÷ 6 = 8169) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49014 ÷ 7 = 7002) | 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 | Yes (49014 ÷ 9 = 5446) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 49014 a prime number?
No. 49014 = 2 × × 7 × 389, so it is divisible by 2.
What are the factors of 49014?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 389, 778, 1167, 2334, 2723, 3501, 5446, 7002, 8169, 16338, 24507, 49014.
What is 49014 in binary?
1011111101110110 (hexadecimal BF76, octal 137566).
What is the square root of 49014?
About 221.3911, exactly 3√5446.
Is 49014 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49014?
49014 is a Harshad number: divisible by its digit sum 18.