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838641409 = 2817693881
BaseRepresentation
bin110001111111001…
…010011100000001
32011110001101201221
4301333022130001
53204143011114
6215114555041
726532222454
oct6177123401
92143041657
10838641409
113a0433781
121b4a38a81
13104992228
147d54749b
154d95b524
hex31fca701

838641409 has 8 divisors (see below), whose sum is σ = 842937480. Its totient is φ = 834355200.

The previous prime is 838641403. The next prime is 838641431. The reversal of 838641409 is 904146838.

838641409 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 188238400 + 650403009 = 13720^2 + 25503^2 .

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 838641409 - 213 = 838633217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838641403) 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, 214149 + ... + 218029.

It is an arithmetic number, because the mean of its divisors is an integer number (105367185).

Almost surely, 2838641409 is an apocalyptic number.

It is an amenable number.

838641409 is a deficient number, since it is larger than the sum of its proper divisors (4296071).

838641409 is a wasteful number, since it uses less digits than its factorization.

838641409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4931.

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 838641409 is about 28959.3060862998. The cubic root of 838641409 is about 943.0298377175.

The spelling of 838641409 in words is "eight hundred thirty-eight million, six hundred forty-one thousand, four hundred nine".

Divisors: 1 281 769 3881 216089 1090561 2984489 838641409