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208923696 = 24321924019
BaseRepresentation
bin11000111001111…
…10110000110000
3112120010102102200
430130332300300
5411441024241
632421543200
75114551662
oct1434766060
9476112380
10208923696
11a7a28513
1259b74b00
133438ccb7
141da66532
151351d4b6
hexc73ec30

208923696 has 90 divisors (see below), whose sum is σ = 617242860. Its totient is φ = 65959488.

The previous prime is 208923683. The next prime is 208923703. The reversal of 208923696 is 696329802.

208923696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2089236962 = 87298221500600832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 49975 + ... + 53993.

It is an arithmetic number, because the mean of its divisors is an integer number (6858254).

Almost surely, 2208923696 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 208923696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308621430).

208923696 is an abundant number, since it is smaller than the sum of its proper divisors (408319164).

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

208923696 is a wasteful number, since it uses less digits than its factorization.

208923696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4071 (or 4043 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 208923696 is about 14454.1930248631. The cubic root of 208923696 is about 593.3749845215.

The spelling of 208923696 in words is "two hundred eight million, nine hundred twenty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 361 456 684 722 912 1083 1368 1444 2166 2736 2888 3249 4019 4332 5776 6498 8038 8664 12057 12996 16076 17328 24114 25992 32152 36171 48228 51984 64304 72342 76361 96456 144684 152722 192912 229083 289368 305444 458166 578736 610888 687249 916332 1221776 1374498 1450859 1832664 2748996 2901718 3665328 4352577 5497992 5803436 8705154 10995984 11606872 13057731 17410308 23213744 26115462 34820616 52230924 69641232 104461848 208923696