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289386328 = 237111034561
BaseRepresentation
bin10001001111111…
…010111101011000
3202011112100102011
4101033322331120
51043040330303
644414315304
710112512630
oct2117727530
9664470364
10289386328
11139395260
1280ab8b34
1347c52b1a
142a60d6c0
151a61416d
hex113faf58

289386328 has 64 divisors (see below), whose sum is σ = 683205120. Its totient is φ = 111628800.

The previous prime is 289386319. The next prime is 289386329. The reversal of 289386328 is 823683982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289386329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61168 + ... + 65728.

It is an arithmetic number, because the mean of its divisors is an integer number (10675080).

Almost surely, 2289386328 is an apocalyptic number.

289386328 is a gapful number since it is divisible by the number (28) 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 289386328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341602560).

289386328 is an abundant number, since it is smaller than the sum of its proper divisors (393818792).

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

289386328 is a wasteful number, since it uses less digits than its factorization.

289386328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4688 (or 4684 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The square root of 289386328 is about 17011.3587934650. The cubic root of 289386328 is about 661.4433731309.

The spelling of 289386328 in words is "two hundred eighty-nine million, three hundred eighty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 103 154 206 308 412 616 721 824 1133 1442 2266 2884 4532 4561 5768 7931 9064 9122 15862 18244 31724 31927 36488 50171 63448 63854 100342 127708 200684 255416 351197 401368 469783 702394 939566 1404788 1879132 2809576 3288481 3758264 5167613 6576962 10335226 13153924 20670452 26307848 36173291 41340904 72346582 144693164 289386328