The number 52448
52448 is a composite number with 24 divisors. Its prime factorisation is × 11 × 149. Divisors (24): 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 149, 176, 298, 352, 596, 1192 … 52448.
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How to work it out
- 1
52448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52448 is composite. Its prime factorisation is
- 3
The divisors add up to 113400; without 52448 itself that is 60952, so 52448 is abundant (60952 is more than 52448). Euler's totient φ(52448) = 23680 numbers up to 52448 share no factor with it.
- 4
The digits of 52448 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52448 = 2^{5} \times 11 \times 149 \]52448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113400 |
| Euler totient φ(n) | 23680 |
| Square | 2750792704 |
| Cube | 144273575739392 |
| Square root | 229.015283 (= 4√3278) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.2448 × |
52448 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand four hundred and forty-eight |
| Binary (base 2) | 1100110011100000 |
| Octal (base 8) | 146340 |
| Hexadecimal (base 16) | CCE0 |
| Base 3 | 2122221112 |
| As time | 52448 seconds = 14 h 34 min 8 s |
Is 52448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52448 ÷ 2 = 26224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52448 ÷ 4 = 13112) | 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 | No (remainder 2) | 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 (52448 ÷ 8 = 6556) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (52448 ÷ 11 = 4768) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52448 a prime number?
No. 52448 = × 11 × 149, so it is divisible by 2.
What are the factors of 52448?
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 149, 176, 298, 352, 596, 1192, 1639, 2384, 3278, 4768, 6556, 13112, 26224, 52448.
What is 52448 in binary?
1100110011100000 (hexadecimal CCE0, octal 146340).
What is the square root of 52448?
About 229.0153, exactly 4√3278.
Is 52448 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 52448?
It is a composite number with 24 divisors.