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289652112 = 2436191307
BaseRepresentation
bin10001010000111…
…011110110010000
3202012000212000000
4101100323312100
51043122331422
644424130000
710115000541
oct2120736620
9665025000
10289652112
11139556a12
1281006900
1348016aa9
142a67c4c8
151a667cac
hex1143bd90

289652112 has 140 divisors (see below), whose sum is σ = 886379280. Its totient is φ = 91399104.

The previous prime is 289652089. The next prime is 289652119. The reversal of 289652112 is 211256982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (289652119) 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 27 ways as a sum of consecutive naturals, for example, 220963 + ... + 222269.

Almost surely, 2289652112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289652112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443189640).

289652112 is an abundant number, since it is smaller than the sum of its proper divisors (596727168).

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

289652112 is a wasteful number, since it uses less digits than its factorization.

289652112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1331 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 289652112 is about 17019.1689573845. The cubic root of 289652112 is about 661.6458098681.

The spelling of 289652112 in words is "two hundred eighty-nine million, six hundred fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 729 912 972 1026 1296 1307 1368 1458 1539 1944 2052 2614 2736 2916 3078 3888 3921 4104 4617 5228 5832 6156 7842 8208 9234 10456 11664 11763 12312 13851 15684 18468 20912 23526 24624 24833 27702 31368 35289 36936 47052 49666 55404 62736 70578 73872 74499 94104 99332 105867 110808 141156 148998 188208 198664 211734 221616 223497 282312 297996 317601 397328 423468 446994 564624 595992 635202 670491 846936 893988 952803 1191984 1270404 1340982 1693872 1787976 1905606 2011473 2540808 2681964 3575952 3811212 4022946 5081616 5363928 6034419 7622424 8045892 10727856 12068838 15244848 16091784 18103257 24137676 32183568 36206514 48275352 72413028 96550704 144826056 289652112