Search a number
-
+
8207091649 = 172734
BaseRepresentation
bin1111010010010111…
…00100011111000001
3210011222002110020101
413221023210133001
5113302003413044
63434214242401
7410244061621
oct75113443701
923158073211
108207091649
113531764479
121710656401
13a0a411263
1457bdb4881
153307a5cd4
hex1e92e47c1

8207091649 has 15 divisors (see below), whose sum is σ = 8839346927. Its totient is φ = 7618508928.

The previous prime is 8207091631. The next prime is 8207091661. The reversal of 8207091649 is 9461907028.

The square root of 8207091649 is 90593.

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

It can be written as a sum of positive squares in 7 ways, for example, as 987530625 + 7219561024 = 31425^2 + 84968^2 .

It is not a de Polignac number, because 8207091649 - 25 = 8207091617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8207091599 and 8207091608.

It is not an unprimeable number, because it can be changed into a prime (8207091049) 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 14 ways as a sum of consecutive naturals, for example, 112425877 + ... + 112425949.

Almost surely, 28207091649 is an apocalyptic number.

8207091649 is the 90593-rd square number.

8207091649 is the 45297-th centered octagonal number.

It is an amenable number.

8207091649 is a deficient number, since it is larger than the sum of its proper divisors (632255278).

8207091649 is an frugal number, since it uses more digits than its factorization.

8207091649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The cubic root of 8207091649 is about 2017.1108296938.

The spelling of 8207091649 in words is "eight billion, two hundred seven million, ninety-one thousand, six hundred forty-nine".

Divisors: 1 17 73 289 1241 5329 21097 90593 389017 1540081 6613289 28398241 112425913 482770097 8207091649