Search a number
-
+
6788936025 = 345218312
BaseRepresentation
bin1100101001010011…
…01111000101011001
3122112010120200110000
412110221233011121
5102400431423100
63041354243213
7330144001254
oct62451570531
918463520400
106788936025
1129741a5133
121395726509
13842676a11
144858d809b
1529b026900
hex194a6f159

6788936025 has 45 divisors (see below), whose sum is σ = 12582328143. Its totient is φ = 3618788400.

The previous prime is 6788936023. The next prime is 6788936057. The reversal of 6788936025 is 5206398876.

It is a happy number.

The square root of 6788936025 is 82395.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2444016969 + 4344919056 = 49437^2 + 65916^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 6788936025 - 21 = 6788936023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6788936023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3706860 + ... + 3708690.

Almost surely, 26788936025 is an apocalyptic number.

6788936025 is the 82395-th square number.

6788936025 is the 41198-th centered octagonal number.

It is an amenable number.

6788936025 is a deficient number, since it is larger than the sum of its proper divisors (5793392118).

6788936025 is an frugal number, since it uses more digits than its factorization.

6788936025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3684 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The cubic root of 6788936025 is about 1893.5084114911.

The spelling of 6788936025 in words is "six billion, seven hundred eighty-eight million, nine hundred thirty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1831 2025 5493 9155 16479 27465 45775 49437 82395 137325 148311 247185 411975 741555 1235925 3352561 3707775 10057683 16762805 30173049 50288415 83814025 90519147 150865245 251442075 271557441 452595735 754326225 1357787205 2262978675 6788936025