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289141083 = 3771117101
BaseRepresentation
bin10001001110111…
…111000101011011
3202011001220000000
4101032333011123
51043010003313
644405144043
710110441630
oct2116770533
9664056000
10289141083
11139237a80
12809bb023
1347b982ca
142a588187
151a5b6673
hex113bf15b

289141083 has 128 divisors (see below), whose sum is σ = 578119680. Its totient is φ = 139968000.

The previous prime is 289141081. The next prime is 289141121. The reversal of 289141083 is 380141982.

It is not a de Polignac number, because 289141083 - 21 = 289141081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289141081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2862733 + ... + 2862833.

It is an arithmetic number, because the mean of its divisors is an integer number (4516560).

Almost surely, 2289141083 is an apocalyptic number.

289141083 is a deficient number, since it is larger than the sum of its proper divisors (288978597).

289141083 is a wasteful number, since it uses less digits than its factorization.

289141083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 289141083 is about 17004.1489937015. The cubic root of 289141083 is about 661.2564701227.

The spelling of 289141083 in words is "two hundred eighty-nine million, one hundred forty-one thousand, eighty-three".

Divisors: 1 3 7 9 11 17 21 27 33 51 63 77 81 99 101 119 153 187 189 231 243 297 303 357 459 561 567 693 707 729 891 909 1071 1111 1309 1377 1683 1701 1717 2079 2121 2187 2673 2727 3213 3333 3927 4131 5049 5103 5151 6237 6363 7777 8019 8181 9639 9999 11781 12019 12393 15147 15309 15453 18711 18887 19089 23331 24057 24543 28917 29997 35343 36057 37179 45441 46359 56133 56661 57267 69993 73629 86751 89991 106029 108171 132209 136323 139077 168399 169983 171801 209979 220887 260253 269973 318087 324513 396627 408969 417231 509949 515403 629937 809919 954261 973539 1189881 1251693 1529847 1546209 1889811 2429757 2862783 2920617 3569643 3755079 4589541 5669433 8761851 10708929 13768623 17008299 26285553 32126787 41305869 96380361 289141083