Math question: What is the sum of the prime factors of 778?

To find the prime factors of 778, we divide it by its smallest prime factor, which is 2. This gives us 389. As 389 is a prime number itself, we conclude that the prime factors of 778 are 2 and 389. Adding them together, 2 + 389 = 391. Hence, the sum of the prime factors of 778 is 391.

What is the smallest positive integer that, when multiplied by 778 and increased by 152, results in a perfect square?

To solve this problem, let's assume the unknown integer as x. According to the given conditions, we have the equation x * 778 + 152 = y^2, where y represents the perfect square. We know that perfect squares can only be one of the numbers 1^2, 2^2, 3^2, 4^2, etc. By trying different values for y, we can determine the appropriate value for x. For instance, trying y = 1, we get 778x + 152 = 1, which yields x = -1/778. Since x must be a positive integer, we continue testing y = 2, which gives 778x + 152 = 4, resulting in x = 3/778 - which isn't an integer either. Next, trying y = 3, we discover 778x + 152 = 9, leading to x = 7/778 - which is still not an integer. Continuing this process, we finally reach y = 30, which presents the solution 778x + 152 = 900, thus x = 748/778 = 374/389. Hence, the smallest positive integer x that satisfies the conditions is 374, which when multiplied by 778 and increased by 152 results in 900, a perfect square (30^2 = 900).

Math Question: What is the smallest perfect square greater than 778?

The smallest perfect square greater than 778 is 784. Explanation: A perfect square is a number that can be obtained by multiplying an integer by itself. To find the smallest perfect square greater than 778, we need to identify the next higher integer whose square is larger than 778. By examining the squares of increasing integers, we find that 28^2 = 784. Therefore, 784 is the smallest perfect square greater than 778.

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

778 (number)

778 is an even 3-digits composite number following 777 and preceding 779. In scientific notation, it is written as 7.78 × 10^2. The sum of its digits is 22. It has a total of 2 prime factors and 4 positive divisors. There are 388 positive integers (up to 778) that are relatively prime to 778.

Interesting facts

778 has 4 divisors, whose sum is 1170
The reverse of 778 is 877
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 22
Digital Root 4

Name

Name	seven hundred seventy-eight

Notation

Scientific notation	7.78 × 10^2
Engineering notation	7.78 × 10^0

Prime Factorization of 778

Prime Factorization 2 × 389

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	778	Product of the distinct prime numbers

The prime factorization of 778 is 2 × 389. Since it has a total of 2 prime factors.

Most popular turbo-numbers

10, 2, 41, 26, 617, 889, 3902, 6137, 26867, 77264, 281905, 393643, 1978008, 1886982, 51885440, 1180871, 88293387, 829106144, 851596972, 9782223915

Basic calculations (n = 778)

Multiplication

n×y

n×2	1556
n×3	2334
n×4	3112
n×5	3890

Division

n÷y

n÷2	389
n÷3	259.33333333333
n÷3	194.5
n÷5	155.6

Exponentiation

n^y

n²	605284
n³	470910952
n⁴	366368720656
n⁵	285034864670368

Nth Root

^y√n

²√n	27.892651361963
³√n	9.1972896868143
⁴√n	5.281349388363
⁵√n	3.7861334666083

Divisors of 778

1, 2, 389, 778

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-777	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 778 can be divided by 4 positive divisors. The sum of these divisors (counting 778) is 1, the average is 0.25.

Base conversion 778

Base	System	Value
2	Binary	1100001010
3	Ternary	1001211
4	Quaternary	30022
5	Quinary	11103
6	Senary	3334
8	Octal	1412
10	Decimal	778
12	Duodecimal	54a
16	Hexadecimal	30a
20	Vigesimal	1ii
36	Base36	lm

Cryptographic Hash Functions

md5	e07413354875be01a996dc560274708e
sha1	3aef3636924191a3e18fabc850c496f7e4110691
sha256	93411f44e228b5004bdec50f32b6c646819eebd09ba3fa26511502b23781a617
sha512	d97dc3970045e1efe1d237e9c92bbe0914d2c120dcf0962575fa42cb925ed0b143d28715d0e1152daaf16d881bd8964d2490d429f9818c7b6893c63dab5fb3e2
ripemd-160	ef26a47f05b91ad78d0e18fc3c5496730c5d0f9c

778 as geometric shapes

Circle

Radius = n

Diameter	1556
Circumference	4888.3181689857
Area	1901555.7677354

Sphere

Radius = n

Volume	1972547183.0642
Surface area	7606223.0709418
Circumference	4888.3181689857

Square

Length = n

Perimeter	3112
Area	605284
Diagonal	1100.2581515263

Cube

Length = n

Surface area	3631704
Volume	470910952
Space diagonal	1347.5355282886

Equilateral Triangle

Length = n

Perimeter	2334
Area	262095.66025213
Altitude	673.76776414429

Triangular Pyramid

Length = n

Surface area	262095.66025213
Volume	55497387.915702
Height	366.75271717542