The number 46464
46464 is a palindrome: it reads 46464 backwards too. Its prime factorisation is × 3 × . Divisors (48): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64 … 46464.
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How to work it out
- 1
What is special about 46464: a palindrome: it reads 46464 backwards too; a Harshad number: divisible by its digit sum 24.
- 2
46464 is composite. Its prime factorisation is
- 3
The divisors add up to 135660; without 46464 itself that is 89196, so 46464 is abundant (89196 is more than 46464). Euler's totient φ(46464) = 14080 numbers up to 46464 share no factor with it.
- 4
The digits of 46464 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46464 = 2^{7} \times 3 \times 11^{2} \]46464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 135660 |
| Euler totient φ(n) | 14080 |
| Square | 2158903296 |
| Cube | 100311282745344 |
| Square root | 215.555097 (= 88√6) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6464 × |
46464 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and sixty-four |
| Binary (base 2) | 1011010110000000 |
| Octal (base 8) | 132600 |
| Hexadecimal (base 16) | B580 |
| Base 3 | 2100201220 |
| As time | 46464 seconds = 12 h 54 min 24 s |
Is 46464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46464 ÷ 2 = 23232) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46464 ÷ 3 = 15488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46464 ÷ 4 = 11616) | 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 | Yes (46464 ÷ 6 = 7744) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (46464 ÷ 8 = 5808) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46464 ÷ 11 = 4224) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46464 ÷ 12 = 3872) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46464 a prime number?
No. 46464 = × 3 × , so it is divisible by 2.
What are the factors of 46464?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 121, 128, 132, 176, 192, 242, 264, 352, 363, 384, 484, 528, 704, 726, 968, 1056, 1408, 1452, 1936, 2112, 2904, 3872, 4224, 5808, 7744, 11616, 15488, 23232, 46464.
What is 46464 in binary?
1011010110000000 (hexadecimal B580, octal 132600).
What is the square root of 46464?
About 215.5551, exactly 88√6.
Is 46464 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46464?
46464 is a palindrome: it reads 46464 backwards too; a Harshad number: divisible by its digit sum 24.