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The number 49616

49616 is a composite number with 20 divisors. Its prime factorisation is 242^{4} × 7 × 443. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 443, 886, 1772, 3101, 3544, 6202 … 49616.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49616 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

    49616 is composite. Its prime factorisation is

    49616=24×7×44349616 = 2^{4} \times 7 \times 443
  3. 3

    The divisors add up to 110112; without 49616 itself that is 60496, so 49616 is abundant (60496 is more than 49616). Euler's totient φ(49616) = 21216 numbers up to 49616 share no factor with it.

  4. 4

    The digits of 49616 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 158 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49616 = 2^{4} \times 7 \times 443 \]

49616 at a glance

PropertyValue
Typecomposite
Number of divisors20
Sum of divisors110112
Euler totient φ(n)21216
Square2461747456
Cube122142061776896
Square root222.746493 (= 4√3101)
Digit sum / digital root26 / 8
Collatz steps to 1158
Scientific notation4.9616 × 10410^{4}

49616 in other forms

FormValue
In wordsforty-nine thousand six hundred and sixteen
Binary (base 2)1100000111010000
Octal (base 8)140720
Hexadecimal (base 16)C1D0
Base 32112001122
As time49616 seconds = 13 h 46 min 56 s

Is 49616 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49616 ÷ 2 = 24808)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 (49616 ÷ 4 = 12404)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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.
7Yes (49616 ÷ 7 = 7088)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 (49616 ÷ 8 = 6202)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.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 49616 a prime number?

No. 49616 = 242^{4} × 7 × 443, so it is divisible by 2.

What are the factors of 49616?

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 443, 886, 1772, 3101, 3544, 6202, 7088, 12404, 24808, 49616.

What is 49616 in binary?

1100000111010000 (hexadecimal C1D0, octal 140720).

What is the square root of 49616?

About 222.7465, exactly 4√3101.

Is 49616 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 49616?

It is a composite number with 20 divisors.

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    49616: is it prime? Factors, square root, binary, Roman numeral | WordGPT