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289465002 = 2354173199
BaseRepresentation
bin10001010000001…
…110001010101010
3202011200100100000
4101100032022222
51043100340002
644420123430
710113261201
oct2120161252
9664610300
10289465002
11139439382
1280b36576
1347c7c888
142a630238
151a62c61c
hex1140e2aa

289465002 has 96 divisors (see below), whose sum is σ = 678787200. Its totient is φ = 92378880.

The previous prime is 289464983. The next prime is 289465003. The reversal of 289465002 is 200564982.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (289465003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1454499 + ... + 1454697.

It is an arithmetic number, because the mean of its divisors is an integer number (7070700).

Almost surely, 2289465002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289465002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339393600).

289465002 is an abundant number, since it is smaller than the sum of its proper divisors (389322198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289465002 is a wasteful number, since it uses less digits than its factorization.

289465002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 289465002 is about 17013.6710324374. The cubic root of 289465002 is about 661.5033087900.

It can be divided in two parts, 2894 and 65002, that added together give a triangular number (67896 = T368).

The spelling of 289465002 in words is "two hundred eighty-nine million, four hundred sixty-five thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 73 81 82 123 146 162 199 219 243 246 369 398 438 486 597 657 738 1107 1194 1314 1791 1971 2214 2993 3321 3582 3942 5373 5913 5986 6642 8159 8979 9963 10746 11826 14527 16119 16318 17739 17958 19926 24477 26937 29054 32238 35478 43581 48357 48954 53874 73431 80811 87162 96714 130743 146862 161622 220293 242433 261486 392229 440586 484866 595607 660879 727299 784458 1176687 1191214 1321758 1454598 1786821 1982637 2353374 3530061 3573642 3965274 5360463 7060122 10720926 16081389 32162778 48244167 96488334 144732501 289465002