Search a number
-
+
289430152 = 23114197827
BaseRepresentation
bin10001010000000…
…101101010001000
3202011121120112021
4101100011222020
51043043231102
644415254224
710113054454
oct2120055210
9664546467
10289430152
11139415180
1280b1a374
1347c69a5b
142a621664
151a622137
hex11405a88

289430152 has 64 divisors (see below), whose sum is σ = 613448640. Its totient is φ = 126873600.

The previous prime is 289430149. The next prime is 289430159. The reversal of 289430152 is 251034982.

It is not an unprimeable number, because it can be changed into a prime (289430159) 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, 349563 + ... + 350389.

It is an arithmetic number, because the mean of its divisors is an integer number (9585135).

Almost surely, 2289430152 is an apocalyptic number.

289430152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289430152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306724320).

289430152 is an abundant number, since it is smaller than the sum of its proper divisors (324018488).

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

289430152 is a wasteful number, since it uses less digits than its factorization.

289430152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 289430152 is about 17012.6468252298. The cubic root of 289430152 is about 661.4767606001.

The spelling of 289430152 in words is "two hundred eighty-nine million, four hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 97 164 194 328 388 451 776 827 902 1067 1654 1804 2134 3308 3608 3977 4268 6616 7954 8536 9097 15908 18194 31816 33907 36388 43747 67814 72776 80219 87494 135628 160438 174988 271256 320876 349976 372977 641752 745954 882409 1491908 1764818 2983816 3288979 3529636 6577958 7059272 13155916 26311832 36178769 72357538 144715076 289430152