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4012 = 221759
BaseRepresentation
bin111110101100
312111121
4332230
5112022
630324
714461
oct7654
95447
104012
113018
1223a4
131a98
141668
1512c7
hexfac

4012 has 12 divisors (see below), whose sum is σ = 7560. Its totient is φ = 1856.

The previous prime is 4007. The next prime is 4013. The reversal of 4012 is 2104.

4012 is nontrivially palindromic in base 3.

4012 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×40122 = 32192288, which contains 22 as substring.

4012 is a modest number, since divided by 12 gives 4 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3986 and 4004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39 + ... + 97.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

24012 is an apocalyptic number.

It is an amenable number.

4012 is a deficient number, since it is larger than the sum of its proper divisors (3548).

4012 is a wasteful number, since it uses less digits than its factorization.

4012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 4012 is about 63.3403504885. The cubic root of 4012 is about 15.8898686826.

Adding to 4012 its reverse (2104), we get a palindrome (6116).

The spelling of 4012 in words is "four thousand, twelve", and thus it is an iban number.

Divisors: 1 2 4 17 34 59 68 118 236 1003 2006 4012