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1608 = 23367
BaseRepresentation
bin11001001000
32012120
4121020
522413
611240
74455
oct3110
92176
101608
111232
12b20
13969
1482c
15723
hex648

1608 has 16 divisors (see below), whose sum is σ = 4080. Its totient is φ = 528.

The previous prime is 1607. The next prime is 1609. The reversal of 1608 is 8061.

Adding to 1608 its reverse (8061), we get a palindrome (9669).

1608 is nontrivially palindromic in base 13.

1608 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1607) and next prime (1609).

1608 is an undulating number in base 13.

It is a plaindrome in base 7.

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1601) 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, 10 + ... + 57.

It is an arithmetic number, because the mean of its divisors is an integer number (255).

It is an amenable number.

1608 is an abundant number, since it is smaller than the sum of its proper divisors (2472).

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 (2040).

1608 is a wasteful number, since it uses less digits than its factorization.

1608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1608 is about 40.0998753115. The cubic root of 1608 is about 11.7155320053.

The spelling of 1608 in words is "one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608