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6441 = 319113
BaseRepresentation
bin1100100101001
322211120
41210221
5201231
645453
724531
oct14451
98746
106441
114926
123889
132c16
1424c1
151d96
hex1929

6441 has 8 divisors (see below), whose sum is σ = 9120. Its totient is φ = 4032.

The previous prime is 6427. The next prime is 6449. The reversal of 6441 is 1446.

6441 is a nontrivial binomial coefficient, being equal to C(114, 2).

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

It is not a de Polignac number, because 6441 - 210 = 5417 is a prime.

It is a plaindrome in base 12.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6441.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 113.

It is an arithmetic number, because the mean of its divisors is an integer number (1140).

6441 is the 113-rd triangular number and also the 57-th hexagonal number.

It is an amenable number.

6441 is a deficient number, since it is larger than the sum of its proper divisors (2679).

6441 is a wasteful number, since it uses less digits than its factorization.

6441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135.

The product of its digits is 96, while the sum is 15.

The square root of 6441 is about 80.2558409089. The cubic root of 6441 is about 18.6059178764.

Adding to 6441 its reverse (1446), we get a palindrome (7887).

It can be divided in two parts, 64 and 41, that added together give a triangular number (105 = T14).

The spelling of 6441 in words is "six thousand, four hundred forty-one".

Divisors: 1 3 19 57 113 339 2147 6441