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208313856 = 29345023
BaseRepresentation
bin11000110101010…
…01111000000000
3112111222102220000
430122221320000
5411312020411
632400520000
75106432012
oct1432517000
9474872800
10208313856
11a7651313
1259920000
133420854a
141d9481b2
151344c956
hexc6a9e00

208313856 has 100 divisors (see below), whose sum is σ = 621885792. Its totient is φ = 69424128.

The previous prime is 208313851. The next prime is 208313863. The reversal of 208313856 is 658313802.

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 208313856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208313851) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 38961 + ... + 43983.

Almost surely, 2208313856 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 208313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310942896).

208313856 is an abundant number, since it is smaller than the sum of its proper divisors (413571936).

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

208313856 is an frugal number, since it uses more digits than its factorization.

208313856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5028 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 208313856 is about 14433.0819993514. The cubic root of 208313856 is about 592.7970758268.

The spelling of 208313856 in words is "two hundred eight million, three hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5023 5184 6912 10046 10368 13824 15069 20092 20736 30138 40184 41472 45207 60276 80368 90414 120552 135621 160736 180828 241104 271242 321472 361656 406863 482208 542484 642944 723312 813726 964416 1084968 1285888 1446624 1627452 1928832 2169936 2571776 2893248 3254904 3857664 4339872 5786496 6509808 7715328 8679744 11572992 13019616 17359488 23145984 26039232 34718976 52078464 69437952 104156928 208313856