The number 49025
49025 is a composite number with 12 divisors. Its prime factorisation is × 37 × 53. Divisors (12): 1, 5, 25, 37, 53, 185, 265, 925, 1325, 1961, 9805, 49025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49025 is composite. Its prime factorisation is
- 3
The divisors add up to 63612; without 49025 itself that is 14587, so 49025 is deficient (14587 is less than 49025). Euler's totient φ(49025) = 37440 numbers up to 49025 share no factor with it.
- 4
The digits of 49025 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49025 = 5^{2} \times 37 \times 53 \]49025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 63612 |
| Euler totient φ(n) | 37440 |
| Square | 2403450625 |
| Cube | 117829166890625 |
| Square root | 221.415898 (= 5√1961) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9025 × |
49025 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and twenty-five |
| Binary (base 2) | 1011111110000001 |
| Octal (base 8) | 137601 |
| Hexadecimal (base 16) | BF81 |
| Base 3 | 2111020202 |
| As time | 49025 seconds = 13 h 37 min 5 s |
Is 49025 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49025 ÷ 5 = 9805) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49025 a prime number?
No. 49025 = × 37 × 53, so it is divisible by 5.
What are the factors of 49025?
1, 5, 25, 37, 53, 185, 265, 925, 1325, 1961, 9805, 49025.
What is 49025 in binary?
1011111110000001 (hexadecimal BF81, octal 137601).
What is the square root of 49025?
About 221.4159, exactly 5√1961.
Is 49025 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 49025?
It is a composite number with 12 divisors.