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990467289 = 327431312791
BaseRepresentation
bin111011000010010…
…101010011011001
32120000201221200200
4323002111103121
54012024423124
6242141052413
733354555510
oct7302252331
92500657620
10990467289
11469102809
12237857109
1312a280226
1495789677
155be4bbc9
hex3b0954d9

990467289 has 48 divisors (see below), whose sum is σ = 1686457344. Its totient is φ = 548402400.

The previous prime is 990467263. The next prime is 990467293. The reversal of 990467289 is 982764099.

990467289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 990467289 - 219 = 989943001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (990467249) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353484 + ... + 356274.

It is an arithmetic number, because the mean of its divisors is an integer number (35134528).

Almost surely, 2990467289 is an apocalyptic number.

It is an amenable number.

990467289 is a deficient number, since it is larger than the sum of its proper divisors (695990055).

990467289 is a wasteful number, since it uses less digits than its factorization.

990467289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 990467289 is about 31471.6902787251. The cubic root of 990467289 is about 996.8122788983.

The spelling of 990467289 in words is "nine hundred ninety million, four hundred sixty-seven thousand, two hundred eighty-nine".

Divisors: 1 3 7 9 21 43 63 129 131 301 387 393 903 917 1179 2709 2751 2791 5633 8253 8373 16899 19537 25119 39431 50697 58611 118293 120013 175833 354879 360039 365621 840091 1080117 1096863 2520273 2559347 3290589 7560819 7678041 15721703 23034123 47165109 110051921 141495327 330155763 990467289