The number 49008
49008 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1021. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1021, 2042, 3063, 4084, 6126, 8168 … 49008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
49008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
49008 is composite. Its prime factorisation is
- 3
The divisors add up to 126728; without 49008 itself that is 77720, so 49008 is abundant (77720 is more than 49008). Euler's totient φ(49008) = 16320 numbers up to 49008 share no factor with it.
- 4
The digits of 49008 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49008 = 2^{4} \times 3 \times 1021 \]49008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 126728 |
| Euler totient φ(n) | 16320 |
| Square | 2401784064 |
| Cube | 117706633408512 |
| Square root | 221.377506 (= 4√3063) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9008 × |
49008 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and eight |
| Binary (base 2) | 1011111101110000 |
| Octal (base 8) | 137560 |
| Hexadecimal (base 16) | BF70 |
| Base 3 | 2111020010 |
| As time | 49008 seconds = 13 h 36 min 48 s |
Is 49008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49008 ÷ 2 = 24504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49008 ÷ 3 = 16336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49008 ÷ 4 = 12252) | 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 (49008 ÷ 6 = 8168) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (49008 ÷ 8 = 6126) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49008 ÷ 12 = 4084) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49008 a prime number?
No. 49008 = × 3 × 1021, so it is divisible by 2.
What are the factors of 49008?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1021, 2042, 3063, 4084, 6126, 8168, 12252, 16336, 24504, 49008.
What is 49008 in binary?
1011111101110000 (hexadecimal BF70, octal 137560).
What is the square root of 49008?
About 221.3775, exactly 4√3063.
Is 49008 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49008?
It is a composite number with 20 divisors.