The number 49032
49032 is a composite number with 32 divisors. Its prime factorisation is × × 227. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 49032.
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How to work it out
- 1
What is special about 49032: a Harshad number: divisible by its digit sum 18.
- 2
49032 is composite. Its prime factorisation is
- 3
The divisors add up to 136800; without 49032 itself that is 87768, so 49032 is abundant (87768 is more than 49032). Euler's totient φ(49032) = 16272 numbers up to 49032 share no factor with it.
- 4
The digits of 49032 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49032 = 2^{3} \times 3^{3} \times 227 \]49032 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 136800 |
| Euler totient φ(n) | 16272 |
| Square | 2404137024 |
| Cube | 117879646560768 |
| Square root | 221.431705 (= 6√1362) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9032 × |
49032 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and thirty-two |
| Binary (base 2) | 1011111110001000 |
| Octal (base 8) | 137610 |
| Hexadecimal (base 16) | BF88 |
| Base 3 | 2111021000 |
| As time | 49032 seconds = 13 h 37 min 12 s |
Is 49032 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49032 ÷ 2 = 24516) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49032 ÷ 3 = 16344) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49032 ÷ 4 = 12258) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49032 ÷ 6 = 8172) | 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 | Yes (49032 ÷ 8 = 6129) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49032 ÷ 9 = 5448) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49032 ÷ 12 = 4086) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49032 a prime number?
No. 49032 = × × 227, so it is divisible by 2.
What are the factors of 49032?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 227, 454, 681, 908, 1362, 1816, 2043, 2724, 4086, 5448, 6129, 8172, 12258, 16344, 24516, 49032.
What is 49032 in binary?
1011111110001000 (hexadecimal BF88, octal 137610).
What is the square root of 49032?
About 221.4317, exactly 6√1362.
Is 49032 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 49032?
49032 is a Harshad number: divisible by its digit sum 18.