The number 49518
49518 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 131. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 131, 189 … 49518.
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How to work it out
- 1
What is special about 49518: a Harshad number: divisible by its digit sum 27.
- 2
49518 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 49518 itself that is 77202, so 49518 is abundant (77202 is more than 49518). Euler's totient φ(49518) = 14040 numbers up to 49518 share no factor with it.
- 4
The digits of 49518 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49518 = 2 \times 3^{3} \times 7 \times 131 \]49518 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 14040 |
| Square | 2452032324 |
| Cube | 121419736619832 |
| Square root | 222.526403 (= 3√5502) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.9518 × |
49518 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand five hundred and eighteen |
| Binary (base 2) | 1100000101101110 |
| Octal (base 8) | 140556 |
| Hexadecimal (base 16) | C16E |
| Base 3 | 2111221000 |
| As time | 49518 seconds = 13 h 45 min 18 s |
Is 49518 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49518 ÷ 2 = 24759) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49518 ÷ 3 = 16506) | 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 | Yes (49518 ÷ 6 = 8253) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49518 ÷ 7 = 7074) | 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 (49518 ÷ 9 = 5502) | 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 7) | 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 49518 a prime number?
No. 49518 = 2 × × 7 × 131, so it is divisible by 2.
What are the factors of 49518?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 131, 189, 262, 378, 393, 786, 917, 1179, 1834, 2358, 2751, 3537, 5502, 7074, 8253, 16506, 24759, 49518.
What is 49518 in binary?
1100000101101110 (hexadecimal C16E, octal 140556).
What is the square root of 49518?
About 222.5264, exactly 3√5502.
Is 49518 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49518?
49518 is a Harshad number: divisible by its digit sum 27.