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289208608 = 25131973529
BaseRepresentation
bin10001001111001…
…111100100100000
3202011012022121221
4101033033210200
51043014133413
644410424424
710111142533
oct2117174440
9664168557
10289208608
11139283787
1280a32114
1347bbcc70
142a5a4a1a
151a5cb68d
hex113cf920

289208608 has 48 divisors (see below), whose sum is σ = 616465080. Its totient is φ = 132765696.

The previous prime is 289208599. The next prime is 289208611. The reversal of 289208608 is 806802982.

It can be written as a sum of positive squares in 4 ways, for example, as 221771664 + 67436944 = 14892^2 + 8212^2 .

It is an unprimeable number.

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, 80188 + ... + 83716.

Almost surely, 2289208608 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 289208608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308232540).

289208608 is an abundant number, since it is smaller than the sum of its proper divisors (327256472).

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

289208608 is a wasteful number, since it uses less digits than its factorization.

289208608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 289208608 is about 17006.1344226135. The cubic root of 289208608 is about 661.3079419593.

The spelling of 289208608 in words is "two hundred eighty-nine million, two hundred eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 197 208 394 416 788 1576 2561 3152 3529 5122 6304 7058 10244 14116 20488 28232 40976 45877 56464 81952 91754 112928 183508 367016 695213 734032 1390426 1468064 2780852 5561704 9037769 11123408 18075538 22246816 36151076 72302152 144604304 289208608