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20438649 = 3471129113
BaseRepresentation
bin100110111110…
…1111001111001
31102110101120000
41031331321321
520213014044
62010023213
7335503620
oct115757171
942411500
1020438649
111059a950
126a17b09
134307c9a
142a006b7
151bdad69
hex137de79

20438649 has 80 divisors (see below), whose sum is σ = 39726720. Its totient is φ = 10160640.

The previous prime is 20438633. The next prime is 20438659. The reversal of 20438649 is 94683402.

It is a happy number.

20438649 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 8 + 649 = 666.

It is not a de Polignac number, because 20438649 - 24 = 20438633 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20438659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180817 + ... + 180929.

It is an arithmetic number, because the mean of its divisors is an integer number (496584).

Almost surely, 220438649 is an apocalyptic number.

20438649 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20438649 is a deficient number, since it is larger than the sum of its proper divisors (19288071).

20438649 is a wasteful number, since it uses less digits than its factorization.

20438649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20438649 is about 4520.9124079106. The cubic root of 20438649 is about 273.4118888165.

The spelling of 20438649 in words is "twenty million, four hundred thirty-eight thousand, six hundred forty-nine".

Divisors: 1 3 7 9 11 21 27 29 33 63 77 81 87 99 113 189 203 231 261 297 319 339 567 609 693 783 791 891 957 1017 1243 1827 2079 2233 2349 2373 2871 3051 3277 3729 5481 6237 6699 7119 8613 8701 9153 9831 11187 16443 20097 21357 22939 25839 26103 29493 33561 36047 60291 64071 68817 78309 88479 100683 108141 180873 206451 234927 252329 265437 324423 619353 704781 756987 973269 1858059 2270961 2919807 6812883 20438649