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206979808 = 2573141727
BaseRepresentation
bin11000101011001…
…00001011100000
3112102110122220211
430111210023200
5410441323213
632312143504
75062204450
oct1425441340
9472418824
10206979808
11a691aaa2
1259397b94
1333b5c279
141d6bbd60
151328753d
hexc5642e0

206979808 has 96 divisors (see below), whose sum is σ = 493129728. Its totient is φ = 83635200.

The previous prime is 206979803. The next prime is 206979809. The reversal of 206979808 is 808979602.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206979803) 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 15 ways as a sum of consecutive naturals, for example, 284341 + ... + 285067.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2206979808 is an apocalyptic number.

206979808 is a gapful number since it is divisible by the number (28) 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 206979808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246564864).

206979808 is an abundant number, since it is smaller than the sum of its proper divisors (286149920).

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

206979808 is a wasteful number, since it uses less digits than its factorization.

206979808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 206979808 is about 14386.7928323167. The cubic root of 206979808 is about 591.5289349797.

The spelling of 206979808 in words is "two hundred six million, nine hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 82 112 124 164 217 224 248 287 328 434 496 574 656 727 868 992 1148 1271 1312 1454 1736 2296 2542 2908 3472 4592 5084 5089 5816 6944 8897 9184 10168 10178 11632 17794 20336 20356 22537 23264 29807 35588 40672 40712 45074 59614 71176 81424 90148 119228 142352 157759 162848 180296 208649 238456 284704 315518 360592 417298 476912 631036 721184 834596 924017 953824 1262072 1669192 1848034 2524144 3338384 3696068 5048288 6468119 6676768 7392136 12936238 14784272 25872476 29568544 51744952 103489904 206979808