Search a number
-
+
289232832 = 26371712659
BaseRepresentation
bin10001001111010…
…101011111000000
3202011020112212010
4101033111133000
51043020422312
644411132520
710111303260
oct2117253700
9664215763
10289232832
1113929a9a9
1280a44140
1347bcacb5
142a5ad7a0
151a5d393c
hex113d57c0

289232832 has 112 divisors (see below), whose sum is σ = 926104320. Its totient is φ = 77770752.

The previous prime is 289232813. The next prime is 289232837. The reversal of 289232832 is 238232982.

289232832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2892328322 = 167311262213480448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289232837) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16519 + ... + 29177.

Almost surely, 2289232832 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 289232832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463052160).

289232832 is an abundant number, since it is smaller than the sum of its proper divisors (636871488).

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

289232832 is a wasteful number, since it uses less digits than its factorization.

289232832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12698 (or 12688 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 289232832 is about 17006.8466212876. The cubic root of 289232832 is about 661.3264050754.

The spelling of 289232832 in words is "two hundred eighty-nine million, two hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 12659 22848 25318 37977 50636 75954 88613 101272 151908 177226 202544 215203 265839 303816 354452 405088 430406 531678 607632 645609 708904 810176 860812 1063356 1215264 1291218 1417808 1506421 1721624 2126712 2430528 2582436 2835616 3012842 3443248 4253424 4519263 5164872 5671232 6025684 6886496 8506848 9038526 10329744 12051368 13772992 17013696 18077052 20659488 24102736 36154104 41318976 48205472 72308208 96410944 144616416 289232832