Search a number
-
+
289051902 = 23519231361
BaseRepresentation
bin10001001110101…
…001010011111110
3202010220100200000
4101032221103332
51042444130102
644403215130
710106620626
oct2116512376
9663810600
10289051902
11139186a77
12809774a6
1347b66839
142a563886
151a59a01c
hex113a94fe

289051902 has 96 divisors (see below), whose sum is σ = 713905920. Its totient is φ = 87246720.

The previous prime is 289051897. The next prime is 289051909. The reversal of 289051902 is 209150982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289051909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211702 + ... + 213062.

It is an arithmetic number, because the mean of its divisors is an integer number (7436520).

Almost surely, 2289051902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289051902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356952960).

289051902 is an abundant number, since it is smaller than the sum of its proper divisors (424854018).

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

289051902 is a wasteful number, since it uses less digits than its factorization.

289051902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 289051902 is about 17001.5264608799. The cubic root of 289051902 is about 661.1884784274.

The spelling of 289051902 in words is "two hundred eighty-nine million, fifty-one thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 243 342 414 437 486 513 621 874 1026 1242 1311 1361 1539 1863 2622 2722 3078 3726 3933 4083 4617 5589 7866 8166 9234 11178 11799 12249 23598 24498 25859 31303 35397 36747 51718 62606 70794 73494 77577 93909 106191 110241 155154 187818 212382 220482 232731 281727 330723 465462 563454 594757 661446 698193 845181 1189514 1396386 1690362 1784271 2094579 2535543 3568542 4189158 5071086 5352813 6283737 7606629 10705626 12567474 15213258 16058439 32116878 48175317 96350634 144525951 289051902