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289975086 = 2331731093
BaseRepresentation
bin10001010010001…
…010101100101110
3202012122021001000
4101102022230232
51043213200321
644435101130
710120514262
oct2122125456
9665567030
10289975086
11139757635
12811417a6
13480caabb
142a7240a2
151a6cd826
hex1148ab2e

289975086 has 64 divisors (see below), whose sum is σ = 685281600. Its totient is φ = 90889344.

The previous prime is 289975079. The next prime is 289975087. The reversal of 289975086 is 680579982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289975087) 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 31 ways as a sum of consecutive naturals, for example, 264756 + ... + 265848.

It is an arithmetic number, because the mean of its divisors is an integer number (10707525).

Almost surely, 2289975086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289975086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342640800).

289975086 is an abundant number, since it is smaller than the sum of its proper divisors (395306514).

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

289975086 is a wasteful number, since it uses less digits than its factorization.

289975086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 289975086 is about 17028.6548499874. The cubic root of 289975086 is about 661.8916392706.

The spelling of 289975086 in words is "two hundred eighty-nine million, nine hundred seventy-five thousand, eighty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 289 306 459 578 867 918 1093 1734 2186 2601 3279 4913 5202 6558 7803 9826 9837 14739 15606 18581 19674 29478 29511 37162 44217 55743 59022 88434 111486 132651 167229 265302 315877 334458 501687 631754 947631 1003374 1895262 2842893 5369909 5685786 8528679 10739818 16109727 17057358 32219454 48329181 96658362 144987543 289975086