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289260696 = 233232572039
BaseRepresentation
bin10001001111011…
…100010010011000
3202011021222002010
4101033130102120
51043022320241
644411505520
710111450434
oct2117342230
9664258063
10289260696
1113930992a
1280a582a0
1347c0a89a
142a5b99c4
151a5dbd16
hex113dc498

289260696 has 64 divisors (see below), whose sum is σ = 757900800. Its totient is φ = 91824128.

The previous prime is 289260689. The next prime is 289260733. The reversal of 289260696 is 696062982.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 140845 + ... + 142883.

It is an arithmetic number, because the mean of its divisors is an integer number (11842200).

Almost surely, 2289260696 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 289260696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378950400).

289260696 is an abundant number, since it is smaller than the sum of its proper divisors (468640104).

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

289260696 is a wasteful number, since it uses less digits than its factorization.

289260696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 289260696 is about 17007.6658010440. The cubic root of 289260696 is about 661.3476412621.

The spelling of 289260696 in words is "two hundred eighty-nine million, two hundred sixty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 514 552 771 1028 1542 2039 2056 3084 4078 5911 6117 6168 8156 11822 12234 16312 17733 23644 24468 35466 46897 47288 48936 70932 93794 140691 141864 187588 281382 375176 524023 562764 1048046 1125528 1572069 2096092 3144138 4192184 6288276 12052529 12576552 24105058 36157587 48210116 72315174 96420232 144630348 289260696