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3522 = 23587
BaseRepresentation
bin110111000010
311211110
4313002
5103042
624150
713161
oct6702
94743
103522
112712
122056
1317ac
1413d8
15109c
hexdc2

3522 has 8 divisors (see below), whose sum is σ = 7056. Its totient is φ = 1172.

The previous prime is 3517. The next prime is 3527. The reversal of 3522 is 2253.

Adding to 3522 its reverse (2253), we get a palindrome (5775).

It can be divided in two parts, 3 and 522, that added together give a palindrome (525).

3522 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 (3517) and next prime (3527).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3498 and 3507.

It is not an unprimeable number, because it can be changed into a prime (3527) 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, 288 + ... + 299.

It is an arithmetic number, because the mean of its divisors is an integer number (882).

23522 is an apocalyptic number.

3522 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528).

3522 is a wasteful number, since it uses less digits than its factorization.

3522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592.

The product of its digits is 60, while the sum is 12.

The square root of 3522 is about 59.3464404998. The cubic root of 3522 is about 15.2146903222.

The spelling of 3522 in words is "three thousand, five hundred twenty-two".

Divisors: 1 2 3 6 587 1174 1761 3522