The number 49128
49128 is a composite number with 32 divisors. Its prime factorisation is × 3 × 23 × 89. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 89, 92, 138, 178, 184 … 49128.
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How to work it out
- 1
What is special about 49128: a Harshad number: divisible by its digit sum 24.
- 2
49128 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 49128 itself that is 80472, so 49128 is abundant (80472 is more than 49128). Euler's totient φ(49128) = 15488 numbers up to 49128 share no factor with it.
- 4
The digits of 49128 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49128 = 2^{3} \times 3 \times 23 \times 89 \]49128 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 15488 |
| Square | 2413560384 |
| Cube | 118573394545152 |
| Square root | 221.648370 (= 2√12282) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.9128 × |
49128 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand one hundred and twenty-eight |
| Binary (base 2) | 1011111111101000 |
| Octal (base 8) | 137750 |
| Hexadecimal (base 16) | BFE8 |
| Base 3 | 2111101120 |
| As time | 49128 seconds = 13 h 38 min 48 s |
Is 49128 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49128 ÷ 2 = 24564) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49128 ÷ 3 = 16376) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49128 ÷ 4 = 12282) | 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 (49128 ÷ 6 = 8188) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (49128 ÷ 8 = 6141) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49128 ÷ 12 = 4094) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49128 a prime number?
No. 49128 = × 3 × 23 × 89, so it is divisible by 2.
What are the factors of 49128?
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 89, 92, 138, 178, 184, 267, 276, 356, 534, 552, 712, 1068, 2047, 2136, 4094, 6141, 8188, 12282, 16376, 24564, 49128.
What is 49128 in binary?
1011111111101000 (hexadecimal BFE8, octal 137750).
What is the square root of 49128?
About 221.6484, exactly 2√12282.
Is 49128 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 49128?
49128 is a Harshad number: divisible by its digit sum 24.