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4036 = 221009
BaseRepresentation
bin111111000100
312112111
4333010
5112121
630404
714524
oct7704
95474
104036
11303a
122404
131ab6
141684
1512e1
hexfc4

4036 has 6 divisors (see below), whose sum is σ = 7070. Its totient is φ = 2016.

The previous prime is 4027. The next prime is 4049. The reversal of 4036 is 6304.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 900 = 56^2 + 30^2 .

4036 is a modest number, since divided by 36 gives 4 as remainder.

It is a nialpdrome in base 16.

It is an unprimeable number.

4036 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 501 + ... + 508.

It is an amenable number.

4036 is a deficient number, since it is larger than the sum of its proper divisors (3034).

4036 is a wasteful number, since it uses less digits than its factorization.

4036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4036 is about 63.5295206971. The cubic root of 4036 is about 15.9214903952.

The spelling of 4036 in words is "four thousand, thirty-six", and thus it is an eban number.

Divisors: 1 2 4 1009 2018 4036