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3536 = 241317
BaseRepresentation
bin110111010000
311211222
4313100
5103121
624212
713211
oct6720
94758
103536
112725
122068
1317c0
141408
1510ab
hexdd0

3536 has 20 divisors (see below), whose sum is σ = 7812. Its totient is φ = 1536.

The previous prime is 3533. The next prime is 3539. The reversal of 3536 is 6353.

Adding to 3536 its sum of digits (17), we get a palindrome (3553).

Adding to 3536 its reverse (6353), we get a palindrome (9889).

It is a happy number.

3536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3533) and next prime (3539).

It can be written as a sum of positive squares in 2 ways, for example, as 1600 + 1936 = 40^2 + 44^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3533) 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, 200 + ... + 216.

23536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906).

3536 is an abundant number, since it is smaller than the sum of its proper divisors (4276).

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

3536 is a wasteful number, since it uses less digits than its factorization.

3536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 32 counting only the distinct ones).

The product of its digits is 270, while the sum is 17.

The square root of 3536 is about 59.4642749893. The cubic root of 3536 is about 15.2348232062.

The spelling of 3536 in words is "three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536