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289046016 = 2933729103
BaseRepresentation
bin10001001110100…
…111111000000000
3202010220001121000
4101032213320000
51042443433031
644403132000
710106564520
oct2116477000
9663801530
10289046016
11139182606
1280974000
1347b63c5c
142a561680
151a5983e6
hex113a7e00

289046016 has 320 divisors, whose sum is σ = 1021363200. Its totient is φ = 78962688.

The previous prime is 289046011. The next prime is 289046033. The reversal of 289046016 is 610640982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289046011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2806221 + ... + 2806323.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2289046016 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 289046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510681600).

289046016 is an abundant number, since it is smaller than the sum of its proper divisors (732317184).

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

289046016 is a wasteful number, since it uses less digits than its factorization.

289046016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 289046016 is about 17001.3533578948. The cubic root of 289046016 is about 661.1839904424.

Adding to 289046016 its reverse (610640982), we get a palindrome (899686998).

The spelling of 289046016 in words is "two hundred eighty-nine million, forty-six thousand, sixteen".