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290144889 = 3329713617
BaseRepresentation
bin10001010010110…
…100001001111001
3202012221212222000
4101102310021321
51043234114024
644442451213
710122122316
oct2122641171
9665855860
10290144889
11139863171
1281203b09
134815a188
142a769d0d
151a713cc9
hex114b4279

290144889 has 16 divisors (see below), whose sum is σ = 430107840. Its totient is φ = 193311360.

The previous prime is 290144887. The next prime is 290144891. The reversal of 290144889 is 988441092.

It is an interprime number because it is at equal distance from previous prime (290144887) and next prime (290144891).

It is not a de Polignac number, because 290144889 - 21 = 290144887 is a prime.

It is a super-2 number, since 2×2901448892 = 168368113225644642, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (290144887) 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, 78409 + ... + 82025.

It is an arithmetic number, because the mean of its divisors is an integer number (26881740).

Almost surely, 2290144889 is an apocalyptic number.

It is an amenable number.

290144889 is a deficient number, since it is larger than the sum of its proper divisors (139962951).

290144889 is a wasteful number, since it uses less digits than its factorization.

290144889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6597 (or 6591 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 290144889 is about 17033.6399222245. The cubic root of 290144889 is about 662.0208104313.

The spelling of 290144889 in words is "two hundred ninety million, one hundred forty-four thousand, eight hundred eighty-nine".

Divisors: 1 3 9 27 2971 3617 8913 10851 26739 32553 80217 97659 10746107 32238321 96714963 290144889