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4000212 = 223337039
BaseRepresentation
bin1111010000100111010100
321112020021000
433100213110
52011001322
6221423300
746000266
oct17204724
97466230
104000212
112292467
12140ab30
13aa09b8
14761b36
155403ac
hex3d09d4

4000212 has 24 divisors (see below), whose sum is σ = 10371200. Its totient is φ = 1333368.

The previous prime is 4000189. The next prime is 4000237. The reversal of 4000212 is 2120004.

4000212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 4000194 and 4000203.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18412 + ... + 18627.

Almost surely, 24000212 is an apocalyptic number.

It is an amenable number.

4000212 is an abundant number, since it is smaller than the sum of its proper divisors (6370988).

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

4000212 is a wasteful number, since it uses less digits than its factorization.

4000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37052 (or 37044 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 4000212 is about 2000.0529992978. The cubic root of 4000212 is about 158.7429095558.

Adding to 4000212 its reverse (2120004), we get a palindrome (6120216).

The spelling of 4000212 in words is "four million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 37039 74078 111117 148156 222234 333351 444468 666702 1000053 1333404 2000106 4000212