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208971928 = 2311232672
BaseRepresentation
bin11000111010010…
…10100010011000
3112120012212121001
430131022202120
5411444100203
632422554344
75115142414
oct1435124230
9476185531
10208971928
11a7a60780
1259b989b4
13343a8c39
141da79d44
151352c91d
hexc74a898

208971928 has 72 divisors (see below), whose sum is σ = 453603780. Its totient is φ = 89501280.

The previous prime is 208971901. The next prime is 208971949. The reversal of 208971928 is 829179802.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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, 3118951 + ... + 3119017.

Almost surely, 2208971928 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 208971928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226801890).

208971928 is an abundant number, since it is smaller than the sum of its proper divisors (244631852).

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

208971928 is a wasteful number, since it uses less digits than its factorization.

208971928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 208971928 is about 14455.8613717758. The cubic root of 208971928 is about 593.4206430733.

The spelling of 208971928 in words is "two hundred eight million, nine hundred seventy-one thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 67 88 92 134 184 253 268 506 529 536 737 1012 1058 1474 1541 2024 2116 2948 3082 4232 4489 5819 5896 6164 8978 11638 12328 16951 17956 23276 33902 35443 35912 46552 49379 67804 70886 98758 103247 135608 141772 197516 206494 283544 389873 395032 412988 779746 825976 1135717 1559492 2271434 2374681 3118984 4542868 4749362 9085736 9498724 18997448 26121491 52242982 104485964 208971928