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288017249 = 13311514733
BaseRepresentation
bin10001001010101…
…100101101100001
3202001221210101112
4101022230231201
51042213022444
644325113105
710065051302
oct2112545541
9661853345
10288017249
1113863a693
1280558795
1347893910
142a3747a9
151a44369e
hex112acb61

288017249 has 16 divisors (see below), whose sum is σ = 322366464. Its totient is φ = 255528000.

The previous prime is 288017243. The next prime is 288017329. The reversal of 288017249 is 942710882.

It is a de Polignac number, because none of the positive numbers 2k-288017249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288017243) by changing a digit.

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, 58487 + ... + 63219.

It is an arithmetic number, because the mean of its divisors is an integer number (20147904).

Almost surely, 2288017249 is an apocalyptic number.

It is an amenable number.

288017249 is a deficient number, since it is larger than the sum of its proper divisors (34349215).

288017249 is a wasteful number, since it uses less digits than its factorization.

288017249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928.

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 288017249 is about 16971.0709444042. The cubic root of 288017249 is about 660.3986335303.

The spelling of 288017249 in words is "two hundred eighty-eight million, seventeen thousand, two hundred forty-nine".

Divisors: 1 13 31 151 403 1963 4681 4733 60853 61529 146723 714683 1907399 9290879 22155173 288017249