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208285056 = 27327231123
BaseRepresentation
bin11000110101000…
…10110110000000
3112111220222101100
430122202312000
5411310110211
632400134400
75106252030
oct1432426600
9474828340
10208285056
11a7631711
1259907400
13341c83c5
141d93b8c0
1513444156
hexc6a2d80

208285056 has 192 divisors, whose sum is σ = 715403520. Its totient is φ = 56871936.

The previous prime is 208285039. The next prime is 208285067. The reversal of 208285056 is 650582802.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 208285056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184911 + ... + 186033.

It is an arithmetic number, because the mean of its divisors is an integer number (3726060).

Almost surely, 2208285056 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 208285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357701760).

208285056 is an abundant number, since it is smaller than the sum of its proper divisors (507118464).

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

208285056 is a wasteful number, since it uses less digits than its factorization.

208285056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 208285056 is about 14432.0842569603. The cubic root of 208285056 is about 592.7697559245.

The spelling of 208285056 in words is "two hundred eight million, two hundred eighty-five thousand, fifty-six".