Search a number
-
+
6441696 = 253222367
BaseRepresentation
bin11000100100101011100000
3110010021100100
4120210223200
53122113241
6350022400
7105516312
oct30445340
913107310
106441696
1136aa818
1221a7a00
131447071
14bd97b2
158739b6
hex624ae0

6441696 has 36 divisors (see below), whose sum is σ = 18319392. Its totient is φ = 2147136.

The previous prime is 6441653. The next prime is 6441697. The reversal of 6441696 is 6961446.

6441696 is a `hidden beast` number, since 644 + 1 + 6 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6441696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6441697) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10896 + ... + 11471.

It is an arithmetic number, because the mean of its divisors is an integer number (508872).

Almost surely, 26441696 is an apocalyptic number.

It is an amenable number.

6441696 is an abundant number, since it is smaller than the sum of its proper divisors (11877696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6441696 is a wasteful number, since it uses less digits than its factorization.

6441696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22383 (or 22372 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6441696 is about 2538.0496449045. The cubic root of 6441696 is about 186.0658802355.

The spelling of 6441696 in words is "six million, four hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22367 44734 67101 89468 134202 178936 201303 268404 357872 402606 536808 715744 805212 1073616 1610424 2147232 3220848 6441696