The number 49248
49248 is a composite number with 60 divisors. Its prime factorisation is × × 19. Divisors (60): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38 … 49248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49248: a Harshad number: divisible by its digit sum 27.
- 2
49248 is composite. Its prime factorisation is
- 3
The divisors add up to 152460; without 49248 itself that is 103212, so 49248 is abundant (103212 is more than 49248). Euler's totient φ(49248) = 15552 numbers up to 49248 share no factor with it.
- 4
The digits of 49248 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49248 = 2^{5} \times 3^{4} \times 19 \]49248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 152460 |
| Euler totient φ(n) | 15552 |
| Square | 2425365504 |
| Cube | 119444400340992 |
| Square root | 221.918904 (= 36√38) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.9248 × |
49248 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand two hundred and forty-eight |
| Binary (base 2) | 1100000001100000 |
| Octal (base 8) | 140140 |
| Hexadecimal (base 16) | C060 |
| Base 3 | 2111120000 |
| As time | 49248 seconds = 13 h 40 min 48 s |
Is 49248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49248 ÷ 2 = 24624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49248 ÷ 3 = 16416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49248 ÷ 4 = 12312) | 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 (49248 ÷ 6 = 8208) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (49248 ÷ 8 = 6156) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (49248 ÷ 9 = 5472) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49248 ÷ 12 = 4104) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49248 a prime number?
No. 49248 = × × 19, so it is divisible by 2.
What are the factors of 49248?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 32, 36, 38, 48, 54, 57, 72, 76, 81, 96, 108, 114, 144, 152, 162, 171, 216, 228, 288, 304, 324, 342, 432, 456, 513, 608, 648, 684, 864, 912, 1026, 1296, 1368, 1539, 1824, 2052, 2592, 2736, 3078, 4104, 5472, 6156, 8208, 12312, 16416, 24624, 49248.
What is 49248 in binary?
1100000001100000 (hexadecimal C060, octal 140140).
What is the square root of 49248?
About 221.9189, exactly 36√38.
Is 49248 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 49248?
49248 is a Harshad number: divisible by its digit sum 27.