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289980928 = 292931933
BaseRepresentation
bin10001010010001…
…100001000000000
3202012122120001101
4101102030020000
51043213342203
644435144144
710120540306
oct2122141000
9665576041
10289980928
11139760a66
1281145054
1348100663
142a726276
151a6d041d
hex1148c200

289980928 has 40 divisors (see below), whose sum is σ = 581673708. Its totient is φ = 144420864.

The previous prime is 289980919. The next prime is 289980953. The reversal of 289980928 is 829089982.

289980928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 252428544 + 37552384 = 15888^2 + 6128^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 149050 + ... + 150982.

Almost surely, 2289980928 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 289980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290836854).

289980928 is an abundant number, since it is smaller than the sum of its proper divisors (291692780).

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

289980928 is an equidigital number, since it uses as much as digits as its factorization.

289980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The square root of 289980928 is about 17028.8263835180. The cubic root of 289980928 is about 661.8960841870.

The spelling of 289980928 in words is "two hundred eighty-nine million, nine hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 293 512 586 1172 1933 2344 3866 4688 7732 9376 15464 18752 30928 37504 61856 75008 123712 150016 247424 494848 566369 989696 1132738 2265476 4530952 9061904 18123808 36247616 72495232 144990464 289980928