The number 49000
49000 is a composite number with 48 divisors. Its prime factorisation is × × . Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56 … 49000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49000: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49000 is composite. Its prime factorisation is
- 3
The divisors add up to 133380; without 49000 itself that is 84380, so 49000 is abundant (84380 is more than 49000). Euler's totient φ(49000) = 16800 numbers up to 49000 share no factor with it.
- 4
The digits of 49000 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49000 = 2^{3} \times 5^{3} \times 7^{2} \]49000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 133380 |
| Euler totient φ(n) | 16800 |
| Square | 2401000000 |
| Cube | 117649000000000 |
| Square root | 221.359436 (= 70√10) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9 × |
49000 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand |
| Binary (base 2) | 1011111101101000 |
| Octal (base 8) | 137550 |
| Hexadecimal (base 16) | BF68 |
| Base 3 | 2111012211 |
| As time | 49000 seconds = 13 h 36 min 40 s |
Is 49000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49000 ÷ 2 = 24500) | 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 | Yes (49000 ÷ 4 = 12250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49000 ÷ 5 = 9800) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (49000 ÷ 7 = 7000) | 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 | Yes (49000 ÷ 8 = 6125) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49000 ÷ 10 = 4900) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49000 a prime number?
No. 49000 = × × , so it is divisible by 2.
What are the factors of 49000?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 49, 50, 56, 70, 98, 100, 125, 140, 175, 196, 200, 245, 250, 280, 350, 392, 490, 500, 700, 875, 980, 1000, 1225, 1400, 1750, 1960, 2450, 3500, 4900, 6125, 7000, 9800, 12250, 24500, 49000.
What is 49000 in binary?
1011111101101000 (hexadecimal BF68, octal 137550).
What is the square root of 49000?
About 221.3594, exactly 70√10.
Is 49000 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 49000?
49000 is a happy number: repeatedly adding the squares of its digits reaches 1.