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289714901 = 72172967179
BaseRepresentation
bin10001010001001…
…011001011010101
3202012011001010112
4101101023023111
51043131334101
644425332405
710115351600
oct2121131325
9665131115
10289714901
1113959a103
1281037105
1348039548
142a697337
151a67b6bb
hex1144b2d5

289714901 has 48 divisors (see below), whose sum is σ = 376747200. Its totient is φ = 221050368.

The previous prime is 289714891. The next prime is 289714913. The reversal of 289714901 is 109417982.

It is not a de Polignac number, because 289714901 - 214 = 289698517 is a prime.

It is a super-2 number, since 2×2897149012 = 167869447722879602, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289714981) 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 47 ways as a sum of consecutive naturals, for example, 1618430 + ... + 1618608.

It is an arithmetic number, because the mean of its divisors is an integer number (7848900).

Almost surely, 2289714901 is an apocalyptic number.

It is an amenable number.

289714901 is a deficient number, since it is larger than the sum of its proper divisors (87032299).

289714901 is a wasteful number, since it uses less digits than its factorization.

289714901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 41.

The square root of 289714901 is about 17021.0135127142. The cubic root of 289714901 is about 661.6936155811.

The spelling of 289714901 in words is "two hundred eighty-nine million, seven hundred fourteen thousand, nine hundred one".

Divisors: 1 7 17 29 49 67 119 179 203 469 493 833 1139 1253 1421 1943 3043 3283 3451 5191 7973 8771 11993 13601 21301 24157 33031 36337 55811 83951 88247 95207 149107 203881 231217 254359 347797 587657 617729 1427167 1618519 2434579 4324103 5912549 9990169 17042053 41387843 289714901