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4000643 = 23312181
BaseRepresentation
bin1111010000101110000011
321112020211222
433100232003
52011010033
6221425255
746001453
oct17205603
97466758
104000643
112292819
12140b22b
13aa0c5a
14761d63
15540598
hex3d0b83

4000643 has 12 divisors (see below), whose sum is σ = 4337424. Its totient is φ = 3682800.

The previous prime is 4000631. The next prime is 4000649. The reversal of 4000643 is 3460004.

4000643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4000643 - 214 = 3984259 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22013 + ... + 22193.

It is an arithmetic number, because the mean of its divisors is an integer number (361452).

Almost surely, 24000643 is an apocalyptic number.

4000643 is a deficient number, since it is larger than the sum of its proper divisors (336781).

4000643 is a wasteful number, since it uses less digits than its factorization.

4000643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4000643 is about 2000.1607435404. The cubic root of 4000643 is about 158.7486105651.

Adding to 4000643 its reverse (3460004), we get a palindrome (7460647).

The spelling of 4000643 in words is "four million, six hundred forty-three", and thus it is an aban number.

Divisors: 1 23 31 181 713 961 4163 5611 22103 129053 173941 4000643