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289089440 = 2557922871
BaseRepresentation
bin10001001110110…
…010011110100000
3202010222021011022
4101032302132200
51043001330230
644404105012
710110135233
oct2116623640
9663867138
10289089440
111392021a2
1280995168
1347b7a953
142a57341a
151a5a61e5
hex113b27a0

289089440 has 48 divisors (see below), whose sum is σ = 691649280. Its totient is φ = 114167040.

The previous prime is 289089421. The next prime is 289089443. The reversal of 289089440 is 44980982.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 289089391 and 289089400.

It is not an unprimeable number, because it can be changed into a prime (289089443) 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 7 ways as a sum of consecutive naturals, for example, 1205 + ... + 24075.

It is an arithmetic number, because the mean of its divisors is an integer number (14409360).

Almost surely, 2289089440 is an apocalyptic number.

289089440 is a gapful number since it is divisible by the number (20) 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 289089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345824640).

289089440 is an abundant number, since it is smaller than the sum of its proper divisors (402559840).

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

289089440 is a wasteful number, since it uses less digits than its factorization.

289089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22965 (or 22957 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 289089440 is about 17002.6303847375. The cubic root of 289089440 is about 661.2170991453.

The spelling of 289089440 in words is "two hundred eighty-nine million, eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 12640 22871 45742 91484 114355 182968 228710 365936 457420 731872 914840 1806809 1829680 3613618 3659360 7227236 9034045 14454472 18068090 28908944 36136180 57817888 72272360 144544720 289089440