Question: What is the sum of the digits of 8442 multiplied by the number of even divisors of 8442?

To find the sum of the digits of 8442, we add 8 + 4 + 4 + 2 = 18. Now, let's determine the number of even divisors of 8442. The prime factorization of 8442 is 2 × 3^2 × 19^2. To have an even divisor, we must have at least one factor of 2. For each prime factor, we can choose powers ranging from 0 (not selecting the factor) up to its maximum power. Therefore, for 8442, we can choose 0 or 1 as the power of 2, 0, 1, or 2 as the power of 3, and 0, 1, or 2 as the power of 19. The number of even divisors is found by multiplying the number of options for each prime factor: (1 + 1) × (2 + 1) × (2 + 1) = 2 × 3 × 3 = 18. Finally, we multiply the sum of the digits (18) by the number of even divisors (18), resulting in 18 × 18 = 324. Therefore, the answer is 324.

Question: If 8442 is divided by the sum of its digits multiplied by the difference of its digits, what is the quotient obtained?

To find the sum of the digits of 8442, we have 8 + 4 + 4 + 2 = 18. The difference of the digits is 8 - 4 - 4 - 2 = -2. Multiplying the sum (18) by the difference (-2) yields -36. Therefore, when 8442 is divided by -36, the quotient obtained is -234.5.

Math Question: What is the sum of the digits of the number 8442 when squared and divided by the number of perfect squares between 1 and 8442?

To find the number of perfect squares between 1 and 8442, we take the square root of the largest perfect square less than 8442, which is 91 since 91^2 = 8281. Similarly, the square root of the smallest perfect square greater than 8442, which is 92, since 92^2 = 8464. Thus, there are 92 - 91 + 1 = 2 perfect squares between 1 and 8442. Now, squaring the number 8442 gives us 71209664. The sum of its digits is 7 + 1 + 2 + 0 + 9 + 6 + 6 + 4 = 35. Dividing 35 by the number of perfect squares (2) yields 35 / 2 = 17.5. Hence, the answer is 17.5.

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

8442 (number)

8442 is an even 4-digits composite number following 8441 and preceding 8443. In scientific notation, it is written as 8.442 × 10^3. The sum of its digits is 18. It has a total of 4 prime factors and 16 positive divisors. There are 2376 positive integers (up to 8442) that are relatively prime to 8442.

Interesting facts

8442 has 16 divisors, whose sum is 17952
The reverse of 8442 is 2448
Previous prime number is 3

Basic properties

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

Name

Name	eight thousand four hundred forty-two

Notation

Scientific notation	8.442 × 10^3
Engineering notation	8.442 × 10^3

Prime Factorization of 8442

Prime Factorization 2 × 21 × 3 × 67

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	8442	Product of the distinct prime numbers

The prime factorization of 8442 is 2 × 21 × 3 × 67. Since it has a total of 4 prime factors.

Most popular turbo-numbers

9, 3, 27, 25, 408, 243, 8621, 9489, 54435, 51142, 916758, 182479, 7663205, 2276978, 72860332, 8713994, 529972253, 764755029, 5759141800, 8655949445

Basic calculations (n = 8442)

Multiplication

n×y

n×2	16884
n×3	25326
n×4	33768
n×5	42210

Division

n÷y

n÷2	4221
n÷3	2814
n÷3	2110.5
n÷5	1688.4

Exponentiation

n^y

n²	71267364
n³	601639086888
n⁴	5079037171508496
n⁵	4.2877231801875E+19

Nth Root

^y√n

²√n	91.880356986681
³√n	20.361750704724
⁴√n	9.5854241944048
⁵√n	6.0994274448164

Divisors of 8442

1, 2, 3, 6, 21, 42, 63, 67, 126, 134, 201, 402, 1407, 2814, 4221, 8442

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-8441	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 8442 can be divided by 16 positive divisors. The sum of these divisors (counting 8442) is 1, the average is 0.0625.

Base conversion 8442

Base	System	Value
2	Binary	10000011111010
3	Ternary	102120200
4	Quaternary	2003322
5	Quinary	232232
6	Senary	103030
8	Octal	20372
10	Decimal	8442
12	Duodecimal	4a76
16	Hexadecimal	20fa
20	Vigesimal	1122
36	Base36	6ii

Cryptographic Hash Functions

md5	915e3742d51cb477268ba29275c3ce09
sha1	a557e266bdd5b96a456ae77c3612b1de60e78851
sha256	1fb34678cd8a644bac1186726c7fafb09dd549eeb8ebdf625250fff84d30c290
sha512	6114f0b81fa48090bf41e600bbf301f49262bac5794aae087d8921eb23bf4de867fa9403b85e21cf6f59a14127ef0babdbc425d415f15c0ea18d2962839471cc
ripemd-160	19e6a790dac21a1dcc98c14210dbb974baefb957

8442 as geometric shapes

Circle

Radius = n

Diameter	16884
Circumference	53042.65036321
Area	223893027.18311

Sphere

Radius = n

Volume	2520139913973.1
Surface area	895572108.73244
Circumference	53042.65036321

Square

Length = n

Perimeter	33768
Area	71267364
Diagonal	11938.790893554

Cube

Length = n

Surface area	427604184
Volume	601639086888
Space diagonal	14621.972917496

Equilateral Triangle

Length = n

Perimeter	25326
Area	30859673.842376
Altitude	7310.9864587482

Triangular Pyramid

Length = n

Surface area	30859673.842376
Volume	70903846360.898
Height	3979.5969645179