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289789472 = 2576719309
BaseRepresentation
bin10001010001011…
…101011000100000
3202012021211102102
4101101131120200
51043141230342
644431105532
710116112160
oct2121353040
9665254372
10289789472
11139640135
12810722a8
134806447b
142a6b65a0
151a693832
hex1145d620

289789472 has 48 divisors (see below), whose sum is σ = 661792320. Its totient is φ = 122335488.

The previous prime is 289789469. The next prime is 289789477. The reversal of 289789472 is 274987982.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (289789477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5354 + ... + 24662.

It is an arithmetic number, because the mean of its divisors is an integer number (13787340).

Almost surely, 2289789472 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 289789472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330896160).

289789472 is an abundant number, since it is smaller than the sum of its proper divisors (372002848).

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

289789472 is a wasteful number, since it uses less digits than its factorization.

289789472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19393 (or 19385 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 56.

The square root of 289789472 is about 17023.2039287556. The cubic root of 289789472 is about 661.7503827931.

The spelling of 289789472 in words is "two hundred eighty-nine million, seven hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3752 7504 15008 19309 38618 77236 135163 154472 270326 308944 540652 617888 1081304 1293703 2162608 2587406 4325216 5174812 9055921 10349624 18111842 20699248 36223684 41398496 72447368 144894736 289789472