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The number 49696

49696 is a composite number with 12 divisors. Its prime factorisation is 252^{5} × 1553. Divisors (12): 1, 2, 4, 8, 16, 32, 1553, 3106, 6212, 12424, 24848, 49696.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49696 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

    49696 is composite. Its prime factorisation is

    49696=25×155349696 = 2^{5} \times 1553
  3. 3

    The divisors add up to 97902; without 49696 itself that is 48206, so 49696 is deficient (48206 is less than 49696). Euler's totient φ(49696) = 24832 numbers up to 49696 share no factor with it.

  4. 4

    The digits of 49696 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49696 = 2^{5} \times 1553 \]

49696 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors97902
Euler totient φ(n)24832
Square2469692416
Cube122733834305536
Square root222.925997 (= 4√3106)
Digit sum / digital root34 / 7
Collatz steps to 1127
Scientific notation4.9696 × 10410^{4}

49696 in other forms

FormValue
In wordsforty-nine thousand six hundred and ninety-six
Binary (base 2)1100001000100000
Octal (base 8)141040
Hexadecimal (base 16)C220
Base 32112011121
As time49696 seconds = 13 h 48 min 16 s

Is 49696 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49696 ÷ 2 = 24848)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (49696 ÷ 4 = 12424)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (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.
8Yes (49696 ÷ 8 = 6212)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49696 a prime number?

No. 49696 = 252^{5} × 1553, so it is divisible by 2.

What are the factors of 49696?

1, 2, 4, 8, 16, 32, 1553, 3106, 6212, 12424, 24848, 49696.

What is 49696 in binary?

1100001000100000 (hexadecimal C220, octal 141040).

What is the square root of 49696?

About 222.9260, exactly 4√3106.

Is 49696 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 49696?

It is a composite number with 12 divisors.

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    49696: is it prime? Factors, square root, binary, Roman numeral | WordGPT