Math question: What is the remainder when 9828 is divided by 7?

To find the remainder, we can use the divisibility rule for 7. Subtract twice the units digit from the remaining digits (982 - 2*8 = 966). Since 966 is divisible by 7, we can continue. Subtract twice the new units digit (96 - 2*6 = 84), and we find that 84 is also divisible by 7. Thus, the remainder when 9828 is divided by 7 is 0.

What is the largest prime factor of the number 9828?

To find the largest prime factor of 9828, we start by dividing it by the smallest prime, which is 2. The result is 4914. Since it's still even, we divide by 2 again and obtain 2457. The next prime is 3, and dividing by it gives 819. Continuing this process, we find that dividing 819 by 3 yields 273, and dividing 273 by 3 gives 91. Dividing 91 by 7 results in 13, and dividing 13 by 13 results in 1. Thus, the largest prime factor is 13.

What is the sum of the digits of the square of the number obtained by reversing the digits of 9828?

To find the square of 9828, we get 96533424. Reversing the digits, we have 42433569. Finding the sum of the digits of this reversed number gives us 3 + 6 + 9 + 5 + 3 + 3 + 4 + 2 + 4 = 39. Therefore, the sum of the digits of the square of the number obtained by reversing the digits of 9828 is 39.

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

9828 (number)

9828 is an even 4-digits composite number following 9827 and preceding 9829. In scientific notation, it is written as 9.828 × 10^3. The sum of its digits is 27. It has a total of 6 prime factors and 48 positive divisors. There are 2592 positive integers (up to 9828) that are relatively prime to 9828.

Interesting facts

9828 has 48 divisors, whose sum is 31360
The reverse of 9828 is 8289
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 27
Digital Root 9

Name

Name	nine thousand eight hundred twenty-eight

Notation

Scientific notation	9.828 × 10^3
Engineering notation	9.828 × 10^3

Prime Factorization of 9828

Prime Factorization 2 × 2 × 3 × 9 × 7 × 13

Composite number

ω	Distinct Factors	5	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	4914	Product of the distinct prime numbers

The prime factorization of 9828 is 2 × 2 × 3 × 9 × 7 × 13. Since it has a total of 6 prime factors.

Most popular turbo-numbers

7, 4, 99, 67, 444, 694, 4417, 1662, 92348, 48032, 548926, 696810, 7123361, 1971459, 52753391, 31435692, 366206855, 878884525, 1390388001, 7571231100

Basic calculations (n = 9828)

Multiplication

n×y

n×2	19656
n×3	29484
n×4	39312
n×5	49140

Division

n÷y

n÷2	4914
n÷3	3276
n÷3	2457
n÷5	1965.6

Exponentiation

n^y

n²	96589584
n³	949282431552
n⁴	9329547737293056
n⁵	9.1690795162116E+19

Nth Root

^y√n

²√n	99.13626985115
³√n	21.420110945765
⁴√n	9.9567198339187
⁵√n	6.2877176223296

Divisors of 9828

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828

48 divisors

τ	Total Divisors	48	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-9827	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.020833333333333	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	48	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 9828 can be divided by 48 positive divisors. The sum of these divisors (counting 9828) is 1, the average is 0.020833333333333.

Base conversion 9828

Base	System	Value
2	Binary	10011001100100
3	Ternary	111111000
4	Quaternary	2121210
5	Quinary	303303
6	Senary	113300
8	Octal	23144
10	Decimal	9828
12	Duodecimal	5830
16	Hexadecimal	2664
20	Vigesimal	14b8
36	Base36	7l0

Cryptographic Hash Functions

md5	ebe4bab9796d8591e73101a9b2cf6296
sha1	e8a06490175dfe99f5712023bd989751dc6283c1
sha256	7684f0452c46035330fd7b92b44e2ebc91216ffd962e54ae3cc8f4725b26c621
sha512	360cc04ab99aa99a46a25fc3bf096b11d8a750bb860fd99b495f9638da3e71c4a48133cf105910feba5daf1eedbba9a332b1b4751a396d0632e84ef9882f7f14
ripemd-160	4553709314cec92be1f8ab5d58f0a09616cd8b01

9828 as geometric shapes

Circle

Radius = n

Diameter	19656
Circumference	61751.145198961
Area	303445127.50769

Sphere

Radius = n

Volume	3976344950860.8
Surface area	1213780510.0308
Circumference	61751.145198961

Square

Length = n

Perimeter	39312
Area	96589584
Diagonal	13898.890891003

Cube

Length = n

Surface area	579537504
Volume	949282431552
Space diagonal	17022.595336787

Equilateral Triangle

Length = n

Perimeter	29484
Area	41824516.742485
Altitude	8511.2976683935

Triangular Pyramid

Length = n

Surface area	41824516.742485
Volume	111874007435.28
Height	4632.9636303343