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289681056 = 25337211227
BaseRepresentation
bin10001010001000…
…010111010100000
3202012002022201000
4101101002322200
51043124243211
644424512000
710115151120
oct2121027240
9665068630
10289681056
11139576735
128101b600
1348027012
142a688c80
151a671656
hex11442ea0

289681056 has 192 divisors, whose sum is σ = 974453760. Its totient is φ = 82010880.

The previous prime is 289681033. The next prime is 289681079. The reversal of 289681056 is 650186982.

It is an interprime number because it is at equal distance from previous prime (289681033) and next prime (289681079).

It is a super-2 number, since 2×2896810562 = 167830228410550272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1276015 + ... + 1276241.

It is an arithmetic number, because the mean of its divisors is an integer number (5075280).

Almost surely, 2289681056 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 289681056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487226880).

289681056 is an abundant number, since it is smaller than the sum of its proper divisors (684772704).

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

289681056 is a wasteful number, since it uses less digits than its factorization.

289681056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 289681056 is about 17020.0192714344. The cubic root of 289681056 is about 661.6678478436.

The spelling of 289681056 in words is "two hundred eighty-nine million, six hundred eighty-one thousand, fifty-six".