The number 49815
49815 is a composite number with 24 divisors. Its prime factorisation is × 5 × 41. Divisors (24): 1, 3, 5, 9, 15, 27, 41, 45, 81, 123, 135, 205, 243, 369, 405, 615 … 49815.
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How to work it out
- 1
What is special about 49815: a Harshad number: divisible by its digit sum 27.
- 2
49815 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 49815 itself that is 41913, so 49815 is deficient (41913 is less than 49815). Euler's totient φ(49815) = 25920 numbers up to 49815 share no factor with it.
- 4
The digits of 49815 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49815 = 3^{5} \times 5 \times 41 \]49815 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 25920 |
| Square | 2481534225 |
| Cube | 123617627418375 |
| Square root | 223.192742 (= 9√615) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9815 × |
49815 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand eight hundred and fifteen |
| Binary (base 2) | 1100001010010111 |
| Octal (base 8) | 141227 |
| Hexadecimal (base 16) | C297 |
| Base 3 | 2112100000 |
| As time | 49815 seconds = 13 h 50 min 15 s |
Is 49815 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49815 ÷ 3 = 16605) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49815 ÷ 5 = 9963) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49815 ÷ 9 = 5535) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49815 a prime number?
No. 49815 = × 5 × 41, so it is divisible by 3.
What are the factors of 49815?
1, 3, 5, 9, 15, 27, 41, 45, 81, 123, 135, 205, 243, 369, 405, 615, 1107, 1215, 1845, 3321, 5535, 9963, 16605, 49815.
What is 49815 in binary?
1100001010010111 (hexadecimal C297, octal 141227).
What is the square root of 49815?
About 223.1927, exactly 9√615.
Is 49815 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49815?
49815 is a Harshad number: divisible by its digit sum 27.