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208327028 = 22721381761
BaseRepresentation
bin11000110101011…
…01000101110100
3112112000002221212
430122231011310
5411312431103
632401100552
75106515300
oct1432550564
9475002855
10208327028
11a76601a8
1259927758
1334211540
141d94cd00
15134517d8
hexc6ad174

208327028 has 36 divisors (see below), whose sum is σ = 456722532. Its totient is φ = 82414080.

The previous prime is 208327019. The next prime is 208327051. The reversal of 208327028 is 820723802.

208327028 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 2 ways, for example, as 57577744 + 150749284 = 7588^2 + 12278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 208326985 and 208327003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38333 + ... + 43428.

It is an arithmetic number, because the mean of its divisors is an integer number (12686737).

Almost surely, 2208327028 is an apocalyptic number.

208327028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

208327028 is an abundant number, since it is smaller than the sum of its proper divisors (248395504).

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

208327028 is a wasteful number, since it uses less digits than its factorization.

208327028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81792 (or 81783 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 208327028 is about 14433.5383049341. The cubic root of 208327028 is about 592.8095700486.

The spelling of 208327028 in words is "two hundred eight million, three hundred twenty-seven thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 81761 163522 327044 572327 1062893 1144654 2125786 2289308 4006289 4251572 7440251 8012578 14880502 16025156 29761004 52081757 104163514 208327028