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The number 49040

49040 is a composite number with 20 divisors. Its prime factorisation is 242^{4} × 5 × 613. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 613, 1226, 2452, 3065, 4904, 6130 … 49040.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    49040 is composite. Its prime factorisation is

    49040=24×5×61349040 = 2^{4} \times 5 \times 613
  3. 3

    The divisors add up to 114204; without 49040 itself that is 65164, so 49040 is abundant (65164 is more than 49040). Euler's totient φ(49040) = 19584 numbers up to 49040 share no factor with it.

  4. 4

    The digits of 49040 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49040 = 2^{4} \times 5 \times 613 \]

49040 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors114204
Euler totient φ(n)19584
Square2404921600
Cube117937355264000
Square root221.449769 (= 4√3065)
Digit sum / digital root17 / 8
Collatz steps to 1158
Scientific notation4.904 × 10410^{4}

49040 in other forms

FormValue
In wordsforty-nine thousand and forty
Binary (base 2)1011111110010000
Octal (base 8)137620
Hexadecimal (base 16)BF90
Base 32111021022
As time49040 seconds = 13 h 37 min 20 s

Is 49040 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49040 ÷ 2 = 24520)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (49040 ÷ 4 = 12260)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (49040 ÷ 5 = 9808)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8Yes (49040 ÷ 8 = 6130)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10Yes (49040 ÷ 10 = 4904)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49040 a prime number?

No. 49040 = 242^{4} × 5 × 613, so it is divisible by 2.

What are the factors of 49040?

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 613, 1226, 2452, 3065, 4904, 6130, 9808, 12260, 24520, 49040.

What is 49040 in binary?

1011111110010000 (hexadecimal BF90, octal 137620).

What is the square root of 49040?

About 221.4498, exactly 4√3065.

Is 49040 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 49040?

It is a composite number with 20 divisors.

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    49040: is it prime? Factors, square root, binary, Roman numeral | WordGPT