The number 49392

Q: Is 49392 a prime number?

No. 49392 = 2^4 × 3^2 × 7^3, so it is divisible by 2.

49392 is a composite number with 60 divisors. Its prime factorisation is $2^{4}$ × $3^{2}$ × $7^{3}$ . Divisors (60): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36 … 49392.

Number

Pick any whole number from 1 to 100,000.

49392 = 2^{4} \times 3^{2} \times 7^{3}

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How to work it out

1
49392 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
49392 is composite. Its prime factorisation is
$49392 = 2^{4} \times 3^{2} \times 7^{3}$
3
The divisors add up to 161200; without 49392 itself that is 111808, so 49392 is abundant (111808 is more than 49392). Euler's totient φ(49392) = 14112 numbers up to 49392 share no factor with it.
4
The digits of 49392 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.

LaTeX source of the formulas on this page

\[ 49392 = 2^{4} \times 3^{2} \times 7^{3} \]

49392 at a glance

Property	Value
Type	composite
Number of divisors	60
Sum of divisors	161200
Euler totient φ(n)	14112
Square	2439569664
Cube	120495224844288
Square root	222.243110 (= 84√7)
Digit sum / digital root	27 / 9
Collatz steps to 1	114
Scientific notation	4.9392 × $10^{4}$

49392 in other forms

Form	Value
In words	forty-nine thousand three hundred and ninety-two
Binary (base 2)	1100000011110000
Octal (base 8)	140360
Hexadecimal (base 16)	C0F0
Base 3	2111202100
As time	49392 seconds = 13 h 43 min 12 s

Is 49392 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (49392 ÷ 2 = 24696)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (49392 ÷ 3 = 16464)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (49392 ÷ 4 = 12348)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (49392 ÷ 6 = 8232)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (49392 ÷ 7 = 7056)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (49392 ÷ 8 = 6174)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (49392 ÷ 9 = 5488)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 2)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (49392 ÷ 12 = 4116)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 49392 a prime number?

No. 49392 = $2^{4}$ × $3^{2}$ × $7^{3}$ , so it is divisible by 2.

What are the factors of 49392?

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 49, 56, 63, 72, 84, 98, 112, 126, 144, 147, 168, 196, 252, 294, 336, 343, 392, 441, 504, 588, 686, 784, 882, 1008, 1029, 1176, 1372, 1764, 2058, 2352, 2744, 3087, 3528, 4116, 5488, 6174, 7056, 8232, 12348, 16464, 24696, 49392.

What is 49392 in binary?

1100000011110000 (hexadecimal C0F0, octal 140360).

What is the square root of 49392?

About 222.2431, exactly 84√7.

Is 49392 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 49392?

It is a composite number with 60 divisors.