Search a number
-
+
8249085 = 3251359239
BaseRepresentation
bin11111011101111011111101
3120112002121200
4133131323331
54102432320
6452450113
7130054545
oct37357375
916462550
108249085
114724729
122919939
13192a920
14114a325
15ace290
hex7ddefd

8249085 has 48 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 3975552.

The previous prime is 8249081. The next prime is 8249089. The reversal of 8249085 is 5809428.

8249085 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8249081) and next prime (8249089).

It is not a de Polignac number, because 8249085 - 22 = 8249081 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8249081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34396 + ... + 34634.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 28249085 is an apocalyptic number.

It is an amenable number.

8249085 is a deficient number, since it is larger than the sum of its proper divisors (7475715).

8249085 is a wasteful number, since it uses less digits than its factorization.

8249085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8249085 is about 2872.1220377971. The cubic root of 8249085 is about 202.0545305840.

The spelling of 8249085 in words is "eight million, two hundred forty-nine thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 59 65 117 177 195 239 295 531 585 717 767 885 1195 2151 2301 2655 3107 3585 3835 6903 9321 10755 11505 14101 15535 27963 34515 42303 46605 70505 126909 139815 183313 211515 549939 634545 916565 1649817 2749695 8249085