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242147808 = 25327217159
BaseRepresentation
bin11100110111011…
…10000111100000
3121212122101100100
432123232013200
5443442212213
640010022400
76000136200
oct1633560740
9555571310
10242147808
11114760261
1269117a00
133b223636
1424234400
15163d2773
hexe6ee1e0

242147808 has 108 divisors (see below), whose sum is σ = 801080280. Its totient is φ = 69181056.

The previous prime is 242147791. The next prime is 242147827. The reversal of 242147808 is 808741242.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 5533 + ... + 22691.

It is an arithmetic number, because the mean of its divisors is an integer number (7417410).

Almost surely, 2242147808 is an apocalyptic number.

242147808 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 242147808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400540140).

242147808 is an abundant number, since it is smaller than the sum of its proper divisors (558932472).

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

242147808 is a wasteful number, since it uses less digits than its factorization.

242147808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17189 (or 17171 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 242147808 is about 15561.0991899673. The cubic root of 242147808 is about 623.2948148071.

The spelling of 242147808 in words is "two hundred forty-two million, one hundred forty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 17159 34318 51477 68636 102954 120113 137272 154431 205908 240226 274544 308862 360339 411816 480452 549088 617724 720678 823632 840791 960904 1081017 1235448 1441356 1647264 1681582 1921808 2162034 2470896 2522373 2882712 3363164 3843616 4324068 4941792 5044746 5765424 6726328 7567119 8648136 10089492 11530848 13452656 15134238 17296272 20178984 26905312 30268476 34592544 40357968 60536952 80715936 121073904 242147808