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The number 49096

49096 is a composite number with 24 divisors. Its prime factorisation is 232^{3} × 17 × 19219^{2}. Divisors (24): 1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 361, 646, 722 … 49096.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    49096 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

    49096 is composite. Its prime factorisation is

    49096=23×17×19249096 = 2^{3} \times 17 \times 19^{2}
  3. 3

    The divisors add up to 102870; without 49096 itself that is 53774, so 49096 is abundant (53774 is more than 49096). Euler's totient φ(49096) = 21888 numbers up to 49096 share no factor with it.

  4. 4

    The digits of 49096 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.

LaTeX source of the formulas on this page
\[ 49096 = 2^{3} \times 17 \times 19^{2} \]

49096 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors102870
Euler totient φ(n)21888
Square2410417216
Cube118341843636736
Square root221.576172 (= 38√34)
Digit sum / digital root28 / 1
Collatz steps to 1127
Scientific notation4.9096 × 10410^{4}

49096 in other forms

FormValue
In wordsforty-nine thousand and ninety-six
Binary (base 2)1011111111001000
Octal (base 8)137710
Hexadecimal (base 16)BFC8
Base 32111100101
As time49096 seconds = 13 h 38 min 16 s

Is 49096 divisible by 2 to 12?

DivisorAnswerRule
2Yes (49096 ÷ 2 = 24548)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 (49096 ÷ 4 = 12274)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 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 (49096 ÷ 8 = 6137)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 3)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 49096 a prime number?

No. 49096 = 232^{3} × 17 × 19219^{2}, so it is divisible by 2.

What are the factors of 49096?

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 323, 361, 646, 722, 1292, 1444, 2584, 2888, 6137, 12274, 24548, 49096.

What is 49096 in binary?

1011111111001000 (hexadecimal BFC8, octal 137710).

What is the square root of 49096?

About 221.5762, exactly 38√34.

Is 49096 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 49096?

It is a composite number with 24 divisors.

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