The number 49075
49075 is a composite number with 12 divisors. Its prime factorisation is × 13 × 151. Divisors (12): 1, 5, 13, 25, 65, 151, 325, 755, 1963, 3775, 9815, 49075.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49075: a Harshad number: divisible by its digit sum 25.
- 2
49075 is composite. Its prime factorisation is
- 3
The divisors add up to 65968; without 49075 itself that is 16893, so 49075 is deficient (16893 is less than 49075). Euler's totient φ(49075) = 36000 numbers up to 49075 share no factor with it.
- 4
The digits of 49075 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49075 = 5^{2} \times 13 \times 151 \]49075 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 65968 |
| Euler totient φ(n) | 36000 |
| Square | 2408355625 |
| Cube | 118190052296875 |
| Square root | 221.528779 (= 5√1963) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9075 × |
49075 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and seventy-five |
| Binary (base 2) | 1011111110110011 |
| Octal (base 8) | 137663 |
| Hexadecimal (base 16) | BFB3 |
| Base 3 | 2111022121 |
| As time | 49075 seconds = 13 h 37 min 55 s |
Is 49075 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 | No (remainder 1) | 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 (49075 ÷ 5 = 9815) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49075 a prime number?
No. 49075 = × 13 × 151, so it is divisible by 5.
What are the factors of 49075?
1, 5, 13, 25, 65, 151, 325, 755, 1963, 3775, 9815, 49075.
What is 49075 in binary?
1011111110110011 (hexadecimal BFB3, octal 137663).
What is the square root of 49075?
About 221.5288, exactly 5√1963.
Is 49075 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49075?
49075 is a Harshad number: divisible by its digit sum 25.