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288000881 = 7231189599
BaseRepresentation
bin10001001010101…
…000101101110001
3202001220221221022
4101022220231301
51042212012011
644324505225
710064652500
oct2112505561
9661827838
10288000881
11138629363
128054b215
134788932c
142a36c837
151a43d8db
hex112a8b71

288000881 has 12 divisors (see below), whose sum is σ = 345830400. Its totient is φ = 238893480.

The previous prime is 288000877. The next prime is 288000883. The reversal of 288000881 is 188000882.

It is not a de Polignac number, because 288000881 - 22 = 288000877 is a prime.

It is a super-2 number, since 2×2880008812 = 165889014913552322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (288000883) 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 11 ways as a sum of consecutive naturals, for example, 93281 + ... + 96318.

It is an arithmetic number, because the mean of its divisors is an integer number (28819200).

Almost surely, 2288000881 is an apocalyptic number.

It is an amenable number.

288000881 is a deficient number, since it is larger than the sum of its proper divisors (57829519).

288000881 is a wasteful number, since it uses less digits than its factorization.

288000881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189644 (or 189637 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 288000881 is about 16970.5887051687. The cubic root of 288000881 is about 660.3861231574.

Subtracting from 288000881 its reverse (188000882), we obtain a palindrome (99999999).

The spelling of 288000881 in words is "two hundred eighty-eight million, eight hundred eighty-one", and thus it is an aban number.

Divisors: 1 7 31 49 217 1519 189599 1327193 5877569 9290351 41142983 288000881