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6423264 = 253222303
BaseRepresentation
bin11000100000001011100000
3110002100001200
4120200023200
53121021024
6345401200
7105411501
oct30401340
913070050
106423264
113697991
122199200
13143b863
14bd2ba8
1586d2c9
hex6202e0

6423264 has 36 divisors (see below), whose sum is σ = 18266976. Its totient is φ = 2140992.

The previous prime is 6423257. The next prime is 6423269. The reversal of 6423264 is 4623246.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6423269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10864 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (507416).

Almost surely, 26423264 is an apocalyptic number.

It is an amenable number.

6423264 is an abundant number, since it is smaller than the sum of its proper divisors (11843712).

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

6423264 is a wasteful number, since it uses less digits than its factorization.

6423264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22319 (or 22308 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 6423264 is about 2534.4159090410. The cubic root of 6423264 is about 185.8882436531. Note that the first 3 decimals are identical.

The spelling of 6423264 in words is "six million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 22303 44606 66909 89212 133818 178424 200727 267636 356848 401454 535272 713696 802908 1070544 1605816 2141088 3211632 6423264