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208397 = 724253
BaseRepresentation
bin110010111000001101
3101120212102
4302320031
523132042
64244445
71525400
oct627015
9346772
10208397
11132632
12a0725
1373b17
1455d37
1541b32
hex32e0d

208397 has 6 divisors (see below), whose sum is σ = 242478. Its totient is φ = 178584.

The previous prime is 208393. The next prime is 208409. The reversal of 208397 is 793802.

208397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 137641 + 70756 = 371^2 + 266^2 .

It is not a de Polignac number, because 208397 - 22 = 208393 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208391) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2078 + ... + 2175.

It is an arithmetic number, because the mean of its divisors is an integer number (40413).

2208397 is an apocalyptic number.

It is an amenable number.

208397 is a deficient number, since it is larger than the sum of its proper divisors (34081).

208397 is an equidigital number, since it uses as much as digits as its factorization.

208397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 208397 is about 456.5052025991. The cubic root of 208397 is about 59.2875932742.

The spelling of 208397 in words is "two hundred eight thousand, three hundred ninety-seven".

Divisors: 1 7 49 4253 29771 208397