Math question: What is the square root of 1764?

The square root of 1764 is 42. This can be calculated by finding the number that, when multiplied by itself, equals 1764. Since 42 multiplied by 42 equals 1764, the square root of 1764 is 42. The square root represents the number that, when multiplied by itself, gives the original number. In this case, 42 multiplied by itself yields 1764, making it the square root of 1764.

Math Question: How many positive divisors does the number 1764 have?

To find the total number of divisors for 1764, it is first necessary to prime factorize the number. By factoring out the prime factors, we get 2^2 × 3^2 × 7^2. Now, to calculate the divisors, we increment the exponent for each factor by 1 and multiply the resulting exponents (3+1) × (2+1) × (2+1) = 4 × 3 × 3 = 36. Hence, the number 1764 has 36 positive divisors.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

1764 (number)

1764 is an even 4-digits composite number following 1763 and preceding 1765. In scientific notation, it is written as 1.764 × 10^3. The sum of its digits is 18. It has a total of 6 prime factors and 27 positive divisors. There are 504 positive integers (up to 1764) that are relatively prime to 1764.

Interesting facts

1764 has 27 divisors, whose sum is 5187
The reverse of 1764 is 4671
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 18
Digital Root 9

Name

Name	one thousand seven hundred sixty-four

Notation

Scientific notation	1.764 × 10^3
Engineering notation	1.764 × 10^3

Prime Factorization of 1764

Prime Factorization 2 × 2 × 3 × 3 × 7 × 7

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	42	Product of the distinct prime numbers

The prime factorization of 1764 is 2 × 2 × 3 × 3 × 7 × 7. Since it has a total of 6 prime factors.

Most popular turbo-numbers

10, 9, 44, 92, 84, 586, 2004, 6030, 51287, 32793, 807316, 484846, 2951103, 1650606, 64194757, 7291985, 180282552, 315487074, 2643458707, 1619662253

Basic calculations (n = 1764)

Multiplication

n×y

n×2	3528
n×3	5292
n×4	7056
n×5	8820

Division

n÷y

n÷2	882
n÷3	588
n÷3	441
n÷5	352.8

Exponentiation

n^y

n²	3111696
n³	5489031744
n⁴	9682651996416
n⁵	17080198121677824

Nth Root

^y√n

²√n	42
³√n	12.082761235961
⁴√n	6.4807406984079
⁵√n	4.4596391171162

Divisors of 1764

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764

27 divisors

τ	Total Divisors	27	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1763	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.037037037037037	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	27	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1764 can be divided by 27 positive divisors. The sum of these divisors (counting 1764) is 1, the average is 0.037037037037037.

Base conversion 1764

Base	System	Value
2	Binary	11011100100
3	Ternary	2102100
4	Quaternary	123210
5	Quinary	24024
6	Senary	12100
8	Octal	3344
10	Decimal	1764
12	Duodecimal	1030
16	Hexadecimal	6e4
20	Vigesimal	484
36	Base36	1d0

Cryptographic Hash Functions

md5	94e4451ad23909020c28b26ca3a13cb8
sha1	45e029859d5f2f6e53c4fca59d8ecc26e4bdced9
sha256	9f273a349b224b830bf816e38baa3d1ffd849abc889d57fbba8024042e5693db
sha512	c9cb6b95a2a0d505d6a295c1e9737965a3545013063f7662ba2859b5f80cdf42a2d4507bbbdd929b323040d4bdcad2d861a49783620623914a8ac0001c86b475
ripemd-160	aa859d920f744f923ce62d263e392e51282267b1

1764 as geometric shapes

Circle

Radius = n

Diameter	3528
Circumference	11083.538881865
Area	9775681.2938047

Sphere

Radius = n

Volume	22992402403.029
Surface area	39102725.175219
Circumference	11083.538881865

Square

Length = n

Perimeter	7056
Area	3111696
Diagonal	2494.6727240261

Cube

Length = n

Surface area	18670176
Volume	5489031744
Space diagonal	3055.3376245515

Equilateral Triangle

Length = n

Perimeter	5292
Area	1347403.8924272
Altitude	1527.6688122757

Triangular Pyramid

Length = n

Surface area	1347403.8924272
Volume	646888594.72177
Height	831.55757467538