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208688838 = 23173122129
BaseRepresentation
bin11000111000001…
…01011011000110
3112112200111021020
430130011123012
5411411020323
632412532010
75112553161
oct1434053306
9475614236
10208688838
11a7888016
1259a81006
133430a127
141da04ad8
15134c3ae3
hexc7056c6

208688838 has 48 divisors (see below), whose sum is σ = 456859440. Its totient is φ = 63329280.

The previous prime is 208688833. The next prime is 208688839. The reversal of 208688838 is 838886802.

It is a super-2 number, since 2×2086888382 = 87102062211580488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208688833) 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 23 ways as a sum of consecutive naturals, for example, 96958 + ... + 99086.

It is an arithmetic number, because the mean of its divisors is an integer number (9517905).

Almost surely, 2208688838 is an apocalyptic number.

208688838 is an abundant number, since it is smaller than the sum of its proper divisors (248170602).

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

208688838 is a wasteful number, since it uses less digits than its factorization.

208688838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 208688838 is about 14446.0665234520. The cubic root of 208688838 is about 593.1525570409.

The spelling of 208688838 in words is "two hundred eight million, six hundred eighty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 17 31 34 51 62 93 102 186 527 961 1054 1581 1922 2129 2883 3162 4258 5766 6387 12774 16337 32674 36193 49011 65999 72386 98022 108579 131998 197997 217158 395994 1121983 2045969 2243966 3365949 4091938 6137907 6731898 12275814 34781473 69562946 104344419 208688838