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19208 = 2374
BaseRepresentation
bin100101100001000
3222100102
410230020
51103313
6224532
7110000
oct45410
928312
1019208
1113482
12b148
138987
147000
155a58
hex4b08

19208 has 20 divisors (see below), whose sum is σ = 42015. Its totient is φ = 8232.

The previous prime is 19207. The next prime is 19211. The reversal of 19208 is 80291.

Adding to 19208 its reverse (80291), we get a palindrome (99499).

19208 = T77 + T78 + ... + T82.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19208 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 9604 = 98^2 + 98^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=98.

It is a Duffinian number.

It is a nialpdrome in base 7 and base 14.

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 19208.

It is not an unprimeable number, because it can be changed into a prime (19207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 2741 + ... + 2747.

219208 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 19208

19208 is an abundant number, since it is smaller than the sum of its proper divisors (22807).

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

19208 is an frugal number, since it uses more digits than its factorization.

19208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 19208 is about 138.5929291126. The cubic root of 19208 is about 26.7810365588.

The spelling of 19208 in words is "nineteen thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 686 1372 2401 2744 4802 9604 19208