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6409 = 131729
BaseRepresentation
bin1100100001001
322210101
41210021
5201114
645401
724454
oct14411
98711
106409
1148a7
123861
132bc0
14249b
151d74
hex1909

6409 has 8 divisors (see below), whose sum is σ = 7560. Its totient is φ = 5376.

The previous prime is 6397. The next prime is 6421. The reversal of 6409 is 9046.

Multipling 6409 by its sum of digits (19), we get a triangular number (121771 = T493).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6397) and next prime (6421).

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 5625 = 28^2 + 75^2 .

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 6409 - 29 = 5897 is a prime.

It is a house number.

It is a Duffinian number.

It is a plaindrome in base 14.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 235.

It is an arithmetic number, because the mean of its divisors is an integer number (945).

It is an amenable number.

6409 is a deficient number, since it is larger than the sum of its proper divisors (1151).

6409 is a wasteful number, since it uses less digits than its factorization.

6409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 6409 is about 80.0562302385. The cubic root of 6409 is about 18.5750542372.

The spelling of 6409 in words is "six thousand, four hundred nine".

Divisors: 1 13 17 29 221 377 493 6409