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208623688 = 23713535407
BaseRepresentation
bin11000110111101…
…01100001001000
3112112120011220021
430123311201020
5411401424223
632411310224
75112162220
oct1433654110
9475504807
10208623688
11a7843079
1259a4b374
13342b6590
141d9c9080
15134ae65d
hexc6f5848

208623688 has 64 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 80960256.

The previous prime is 208623671. The next prime is 208623689. The reversal of 208623688 is 886326802.

It is not an unprimeable number, because it can be changed into a prime (208623689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35881 + ... + 41287.

It is an arithmetic number, because the mean of its divisors is an integer number (7665840).

Almost surely, 2208623688 is an apocalyptic number.

208623688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208623688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

208623688 is an abundant number, since it is smaller than the sum of its proper divisors (281990072).

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

208623688 is a wasteful number, since it uses less digits than its factorization.

208623688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 208623688 is about 14443.8114083506. The cubic root of 208623688 is about 593.0908257227.

The spelling of 208623688 in words is "two hundred eight million, six hundred twenty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 689 728 742 1378 1484 2756 2968 4823 5407 5512 9646 10814 19292 21628 37849 38584 43256 70291 75698 140582 151396 281164 286571 302792 492037 562328 573142 984074 1146284 1968148 2005997 2292568 3725423 3936296 4011994 7450846 8023988 14901692 16047976 26077961 29803384 52155922 104311844 208623688