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289135616 = 21071119193
BaseRepresentation
bin10001001110111…
…101110000000000
3202011001121111112
4101032331300000
51043004314431
644405102452
710110416660
oct2116756000
9664047445
10289135616
11139233960
12809b7a28
1347b95983
142a5861a0
151a5b4c2b
hex113bdc00

289135616 has 176 divisors, whose sum is σ = 762466560. Its totient is φ = 106168320.

The previous prime is 289135607. The next prime is 289135631. The reversal of 289135616 is 616531982.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498016 + ... + 1498208.

Almost surely, 2289135616 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 289135616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381233280).

289135616 is an abundant number, since it is smaller than the sum of its proper divisors (473330944).

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

289135616 is a wasteful number, since it uses less digits than its factorization.

289135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 232 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 289135616 is about 17003.9882380576. The cubic root of 289135616 is about 661.2523024780.

The spelling of 289135616 in words is "two hundred eighty-nine million, one hundred thirty-five thousand, six hundred sixteen".