The number 48464
48464 is a composite number with 20 divisors. Its prime factorisation is × 13 × 233. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 233, 466, 932, 1864, 3029, 3728 … 48464.
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How to work it out
- 1
What is special about 48464: a Harshad number: divisible by its digit sum 26.
- 2
48464 is composite. Its prime factorisation is
- 3
The divisors add up to 101556; without 48464 itself that is 53092, so 48464 is abundant (53092 is more than 48464). Euler's totient φ(48464) = 22272 numbers up to 48464 share no factor with it.
- 4
The digits of 48464 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48464 = 2^{4} \times 13 \times 233 \]48464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 101556 |
| Euler totient φ(n) | 22272 |
| Square | 2348759296 |
| Cube | 113830270521344 |
| Square root | 220.145406 (= 4√3029) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8464 × |
48464 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and sixty-four |
| Binary (base 2) | 1011110101010000 |
| Octal (base 8) | 136520 |
| Hexadecimal (base 16) | BD50 |
| Base 3 | 2110110222 |
| As time | 48464 seconds = 13 h 27 min 44 s |
Is 48464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48464 ÷ 2 = 24232) | 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 (48464 ÷ 4 = 12116) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 (48464 ÷ 8 = 6058) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 48464 a prime number?
No. 48464 = × 13 × 233, so it is divisible by 2.
What are the factors of 48464?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 233, 466, 932, 1864, 3029, 3728, 6058, 12116, 24232, 48464.
What is 48464 in binary?
1011110101010000 (hexadecimal BD50, octal 136520).
What is the square root of 48464?
About 220.1454, exactly 4√3029.
Is 48464 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48464?
48464 is a Harshad number: divisible by its digit sum 26.