Search a number
-
+
8338000041 = 327132349207
BaseRepresentation
bin1111100001111101…
…11100100010101001
3210112002102021210100
413300332330202221
5114034012000131
63455212140013
7413423555010
oct76076744251
923462367710
108338000041
113599646928
121748467609
13a2b587347
1459152da77
1533c0137e6
hex1f0fbc8a9

8338000041 has 12 divisors (see below), whose sum is σ = 13764317632. Its totient is φ = 4764571416.

The previous prime is 8338000037. The next prime is 8338000049. The reversal of 8338000041 is 1400008338.

It is not a de Polignac number, because 8338000041 - 22 = 8338000037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8337999969 and 8338000014.

It is not an unprimeable number, because it can be changed into a prime (8338000049) 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 11 ways as a sum of consecutive naturals, for example, 66174541 + ... + 66174666.

Almost surely, 28338000041 is an apocalyptic number.

It is an amenable number.

8338000041 is a deficient number, since it is larger than the sum of its proper divisors (5426317591).

8338000041 is a wasteful number, since it uses less digits than its factorization.

8338000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132349220 (or 132349217 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8338000041 is about 91312.6499505956. The cubic root of 8338000041 is about 2027.7790460173.

Adding to 8338000041 its reverse (1400008338), we get a palindrome (9738008379).

The spelling of 8338000041 in words is "eight billion, three hundred thirty-eight million, forty-one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 132349207 397047621 926444449 1191142863 2779333347 8338000041