The number 49104
49104 is a composite number with 60 divisors. Its prime factorisation is × × 11 × 31. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 31, 33, 36 … 49104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49104: a Harshad number: divisible by its digit sum 18.
- 2
49104 is composite. Its prime factorisation is
- 3
The divisors add up to 154752; without 49104 itself that is 105648, so 49104 is abundant (105648 is more than 49104). Euler's totient φ(49104) = 14400 numbers up to 49104 share no factor with it.
- 4
The digits of 49104 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49104 = 2^{4} \times 3^{2} \times 11 \times 31 \]49104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 154752 |
| Euler totient φ(n) | 14400 |
| Square | 2411202816 |
| Cube | 118399703076864 |
| Square root | 221.594224 (= 12√341) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9104 × |
49104 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and four |
| Binary (base 2) | 1011111111010000 |
| Octal (base 8) | 137720 |
| Hexadecimal (base 16) | BFD0 |
| Base 3 | 2111100200 |
| As time | 49104 seconds = 13 h 38 min 24 s |
Is 49104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49104 ÷ 2 = 24552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49104 ÷ 3 = 16368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49104 ÷ 4 = 12276) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49104 ÷ 6 = 8184) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (49104 ÷ 8 = 6138) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49104 ÷ 9 = 5456) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (49104 ÷ 11 = 4464) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49104 ÷ 12 = 4092) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49104 a prime number?
No. 49104 = × × 11 × 31, so it is divisible by 2.
What are the factors of 49104?
1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 31, 33, 36, 44, 48, 62, 66, 72, 88, 93, 99, 124, 132, 144, 176, 186, 198, 248, 264, 279, 341, 372, 396, 496, 528, 558, 682, 744, 792, 1023, 1116, 1364, 1488, 1584, 2046, 2232, 2728, 3069, 4092, 4464, 5456, 6138, 8184, 12276, 16368, 24552, 49104.
What is 49104 in binary?
1011111111010000 (hexadecimal BFD0, octal 137720).
What is the square root of 49104?
About 221.5942, exactly 12√341.
Is 49104 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49104?
49104 is a Harshad number: divisible by its digit sum 18.