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208273 = 1337433
BaseRepresentation
bin110010110110010001
3101120200211
4302312101
523131043
64244121
71525132
oct626621
9346624
10208273
1113252a
12a0641
1373a50
1455c89
1541a9d
hex32d91

208273 has 8 divisors (see below), whose sum is σ = 230888. Its totient is φ = 186624.

The previous prime is 208261. The next prime is 208277. The reversal of 208273 is 372802.

It is a happy number.

208273 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 4 ways, for example, as 8464 + 199809 = 92^2 + 447^2 .

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

It is a 6-Lehmer number, since φ(208273) divides (208273-1)6.

It is a cyclic number.

It is not a de Polignac number, because 208273 - 217 = 77201 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 (208277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

2208273 is an apocalyptic number.

It is an amenable number.

208273 is a deficient number, since it is larger than the sum of its proper divisors (22615).

208273 is a wasteful number, since it uses less digits than its factorization.

208273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 208273 is about 456.3693679466. The cubic root of 208273 is about 59.2758318762.

It can be divided in two parts, 20827 and 3, that multiplied together give a triangular number (62481 = T353).

The spelling of 208273 in words is "two hundred eight thousand, two hundred seventy-three".

Divisors: 1 13 37 433 481 5629 16021 208273