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208045992 = 2337111031093
BaseRepresentation
bin11000110011010…
…00011110101000
3112111110211110010
430121220132220
5411224432432
632351051520
75104235040
oct1431503650
9474424403
10208045992
11a7489040
1259810ba0
133414364b
141d8b8720
15133e83cc
hexc6687a8

208045992 has 128 divisors (see below), whose sum is σ = 655349760. Its totient is φ = 53464320.

The previous prime is 208045979. The next prime is 208046009. The reversal of 208045992 is 299540802.

It is a self number, because there is not a number n which added to its sum of digits gives 208045992.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 189798 + ... + 190890.

It is an arithmetic number, because the mean of its divisors is an integer number (5119920).

Almost surely, 2208045992 is an apocalyptic number.

208045992 is a gapful number since it is divisible by the number (22) 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 208045992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327674880).

208045992 is an abundant number, since it is smaller than the sum of its proper divisors (447303768).

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

208045992 is a wasteful number, since it uses less digits than its factorization.

208045992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 208045992 is about 14423.7994994384. The cubic root of 208045992 is about 592.5428806937.

It can be divided in two parts, 20804 and 5992, that added together give a triangular number (26796 = T231).

The spelling of 208045992 in words is "two hundred eight million, forty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 103 132 154 168 206 231 264 308 309 412 462 616 618 721 824 924 1093 1133 1236 1442 1848 2163 2186 2266 2472 2884 3279 3399 4326 4372 4532 5768 6558 6798 7651 7931 8652 8744 9064 12023 13116 13596 15302 15862 17304 22953 23793 24046 26232 27192 30604 31724 36069 45906 47586 48092 61208 63448 72138 84161 91812 95172 96184 112579 144276 168322 183624 190344 225158 252483 288552 336644 337737 450316 504966 673288 675474 788053 900632 1009932 1238369 1350948 1576106 2019864 2364159 2476738 2701896 3152212 3715107 4728318 4953476 6304424 7430214 8668583 9456636 9906952 14860428 17337166 18913272 26005749 29720856 34674332 52011498 69348664 104022996 208045992