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The number 49796

49796 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 59 × 211. Divisors (12): 1, 2, 4, 59, 118, 211, 236, 422, 844, 12449, 24898, 49796.

Number

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How to work it out

  1. 1

    What is special about 49796: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    49796 is composite. Its prime factorisation is

    49796=22×59×21149796 = 2^{2} \times 59 \times 211
  3. 3

    The divisors add up to 89040; without 49796 itself that is 39244, so 49796 is deficient (39244 is less than 49796). Euler's totient φ(49796) = 24360 numbers up to 49796 share no factor with it.

  4. 4

    The digits of 49796 add up to 35, 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
\[ 49796 = 2^{2} \times 59 \times 211 \]

49796 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors89040
Euler totient φ(n)24360
Square2479641616
Cube123476233910336
Square root223.150174 (= 2√12449)
Digit sum / digital root35 / 8
Collatz steps to 1158
Scientific notation4.9796 × 10410^{4}

49796 in other forms

FormValue
In wordsforty-nine thousand seven hundred and ninety-six
Binary (base 2)1100001010000100
Octal (base 8)141204
Hexadecimal (base 16)C284
Base 32112022022
As time49796 seconds = 13 h 49 min 56 s

Is 49796 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49796 ÷ 2 = 24898)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 (49796 ÷ 4 = 12449)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.
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.
8No (remainder 4)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 10)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 49796 a prime number?

No. 49796 = 222^{2} × 59 × 211, so it is divisible by 2.

What are the factors of 49796?

1, 2, 4, 59, 118, 211, 236, 422, 844, 12449, 24898, 49796.

What is 49796 in binary?

1100001010000100 (hexadecimal C284, octal 141204).

What is the square root of 49796?

About 223.1502, exactly 2√12449.

Is 49796 divisible by 3?

No. Its digits add up to 35, which is not a multiple of 3.

What is special about the number 49796?

49796 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    49796: is it prime? Factors, square root, binary, Roman numeral | WordGPT