The number 26448
26448 is a composite number with 40 divisors. Its prime factorisation is × 3 × 19 × 29. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 29, 38, 48, 57, 58, 76 … 26448.
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How to work it out
- 1
What is special about 26448: a Harshad number: divisible by its digit sum 24.
- 2
26448 is composite. Its prime factorisation is
- 3
The divisors add up to 74400; without 26448 itself that is 47952, so 26448 is abundant (47952 is more than 26448). Euler's totient φ(26448) = 8064 numbers up to 26448 share no factor with it.
- 4
The digits of 26448 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26448 = 2^{4} \times 3 \times 19 \times 29 \]26448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 74400 |
| Euler totient φ(n) | 8064 |
| Square | 699496704 |
| Cube | 18500288827392 |
| Square root | 162.628411 (= 4√1653) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.6448 × |
26448 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and forty-eight |
| Binary (base 2) | 110011101010000 |
| Octal (base 8) | 63520 |
| Hexadecimal (base 16) | 6750 |
| Base 3 | 1100021120 |
| As time | 26448 seconds = 7 h 20 min 48 s |
Is 26448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26448 ÷ 2 = 13224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26448 ÷ 3 = 8816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (26448 ÷ 4 = 6612) | 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 (26448 ÷ 6 = 4408) | 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 (26448 ÷ 8 = 3306) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (26448 ÷ 12 = 2204) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26448 a prime number?
No. 26448 = × 3 × 19 × 29, so it is divisible by 2.
What are the factors of 26448?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 29, 38, 48, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 304, 348, 456, 464, 551, 696, 912, 1102, 1392, 1653, 2204, 3306, 4408, 6612, 8816, 13224, 26448.
What is 26448 in binary?
110011101010000 (hexadecimal 6750, octal 63520).
What is the square root of 26448?
About 162.6284, exactly 4√1653.
Is 26448 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 26448?
26448 is a Harshad number: divisible by its digit sum 24.