The number 49440
49440 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 103. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 49440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49440: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49440 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 49440 itself that is 107808, so 49440 is abundant (107808 is more than 49440). Euler's totient φ(49440) = 13056 numbers up to 49440 share no factor with it.
- 4
The digits of 49440 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 49440 = 2^{5} \times 3 \times 5 \times 103 \]49440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 13056 |
| Square | 2444313600 |
| Cube | 120846864384000 |
| Square root | 222.351074 (= 4√3090) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.944 × |
49440 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand four hundred and forty |
| Binary (base 2) | 1100000100100000 |
| Octal (base 8) | 140440 |
| Hexadecimal (base 16) | C120 |
| Base 3 | 2111211010 |
| As time | 49440 seconds = 13 h 44 min 0 s |
Is 49440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (49440 ÷ 2 = 24720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (49440 ÷ 3 = 16480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (49440 ÷ 4 = 12360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (49440 ÷ 5 = 9888) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (49440 ÷ 6 = 8240) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (49440 ÷ 8 = 6180) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (49440 ÷ 10 = 4944) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (49440 ÷ 12 = 4120) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49440 a prime number?
No. 49440 = × 3 × 5 × 103, so it is divisible by 2.
What are the factors of 49440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 103, 120, 160, 206, 240, 309, 412, 480, 515, 618, 824, 1030, 1236, 1545, 1648, 2060, 2472, 3090, 3296, 4120, 4944, 6180, 8240, 9888, 12360, 16480, 24720, 49440.
What is 49440 in binary?
1100000100100000 (hexadecimal C120, octal 140440).
What is the square root of 49440?
About 222.3511, exactly 4√3090.
Is 49440 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 49440?
49440 is a happy number: repeatedly adding the squares of its digits reaches 1.