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289058096 = 24191277487
BaseRepresentation
bin10001001110101…
…010110100110000
3202010220200011102
4101032222310300
51042444324341
644403303532
710106644655
oct2116526460
9663820142
10289058096
11139190698
128097aba8
1347b695c2
142a565c2c
151a59bc9b
hex113aad30

289058096 has 40 divisors (see below), whose sum is σ = 594247680. Its totient is φ = 135825984.

The previous prime is 289058093. The next prime is 289058101. The reversal of 289058096 is 690850982.

It is a self number, because there is not a number n which added to its sum of digits gives 289058096.

It is not an unprimeable number, because it can be changed into a prime (289058093) 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, 34865 + ... + 42351.

It is an arithmetic number, because the mean of its divisors is an integer number (14856192).

Almost surely, 2289058096 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 289058096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297123840).

289058096 is an abundant number, since it is smaller than the sum of its proper divisors (305189584).

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

289058096 is a wasteful number, since it uses less digits than its factorization.

289058096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7641 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The square root of 289058096 is about 17001.7086200182. The cubic root of 289058096 is about 661.1932011919.

The spelling of 289058096 in words is "two hundred eighty-nine million, fifty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 304 508 1016 2032 2413 4826 7487 9652 14974 19304 29948 38608 59896 119792 142253 284506 569012 950849 1138024 1901698 2276048 3803396 7606792 15213584 18066131 36132262 72264524 144529048 289058096