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289057968 = 24322007347
BaseRepresentation
bin10001001110101…
…010110010110000
3202010220122222200
4101032222302300
51042444323333
644403303200
710106644413
oct2116526260
9663818880
10289057968
11139190591
128097ab00
1347b69524
142a565b7a
151a59bc13
hex113aacb0

289057968 has 30 divisors (see below), whose sum is σ = 808961244. Its totient is φ = 96352608.

The previous prime is 289057957. The next prime is 289057991. The reversal of 289057968 is 869750982.

It is a happy number.

289057968 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 579 + 68 = 666.

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 5 ways as a sum of consecutive naturals, for example, 1003530 + ... + 1003817.

Almost surely, 2289057968 is an apocalyptic number.

It is an amenable number.

289057968 is an abundant number, since it is smaller than the sum of its proper divisors (519903276).

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

289057968 is a wasteful number, since it uses less digits than its factorization.

289057968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007361 (or 2007352 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 289057968 is about 17001.7048556902. The cubic root of 289057968 is about 661.1931035959.

The spelling of 289057968 in words is "two hundred eighty-nine million, fifty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2007347 4014694 6022041 8029388 12044082 16058776 18066123 24088164 32117552 36132246 48176328 72264492 96352656 144528984 289057968