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288640856 = 23719271279
BaseRepresentation
bin10001001101000…
…100111101011000
3202010010110211002
4101031010331120
51042343001411
644350324132
710103256350
oct2115047530
9663113732
10288640856
11138a26169
12807b9648
1347a5170a
142a497b60
151a51833b
hex11344f58

288640856 has 32 divisors (see below), whose sum is σ = 651072000. Its totient is φ = 117192096.

The previous prime is 288640843. The next prime is 288640939. The reversal of 288640856 is 658046882.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 288640856.

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 7 ways as a sum of consecutive naturals, for example, 134576 + ... + 136703.

It is an arithmetic number, because the mean of its divisors is an integer number (20346000).

Almost surely, 2288640856 is an apocalyptic number.

It is an amenable number.

288640856 is an abundant number, since it is smaller than the sum of its proper divisors (362431144).

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

288640856 is a wasteful number, since it uses less digits than its factorization.

288640856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271311 (or 271307 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 47.

The square root of 288640856 is about 16989.4336574237. The cubic root of 288640856 is about 660.8749155841.

The spelling of 288640856 in words is "two hundred eighty-eight million, six hundred forty thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 271279 542558 1085116 1898953 2170232 3797906 5154301 7595812 10308602 15191624 20617204 36080107 41234408 72160214 144320428 288640856