Search a number
-
+
838375009 = 17106946133
BaseRepresentation
bin110001111110001…
…001011001100001
32011102112212022021
4301332021121201
53204111000014
6215105141441
726530033003
oct6176113141
92142485267
10838375009
113a027160a
121b492a881
131048cabb4
147d4b8373
154d907624
hex31f89661

838375009 has 8 divisors (see below), whose sum is σ = 888540840. Its totient is φ = 788303616.

The previous prime is 838375003. The next prime is 838375037. The reversal of 838375009 is 900573838.

It is a happy number.

838375009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 244234384 + 594140625 = 15628^2 + 24375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 838375009 - 213 = 838366817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838375003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4894 + ... + 41239.

It is an arithmetic number, because the mean of its divisors is an integer number (111067605).

Almost surely, 2838375009 is an apocalyptic number.

It is an amenable number.

838375009 is a deficient number, since it is larger than the sum of its proper divisors (50165831).

838375009 is a wasteful number, since it uses less digits than its factorization.

838375009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47219.

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 838375009 is about 28954.7061632475. The cubic root of 838375009 is about 942.9299739173.

The spelling of 838375009 in words is "eight hundred thirty-eight million, three hundred seventy-five thousand, nine".

Divisors: 1 17 1069 18173 46133 784261 49316177 838375009