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2838638649 = 372114147911
BaseRepresentation
bin1010100100110010…
…0011000000111001
321022211101210011210
42221030203000321
521303142414044
61145401513333
7130226013300
oct25114430071
97284353153
102838638649
111227379260
126727a2849
13363138252
141cd001437
1511931d1b9
hexa9323039

2838638649 has 96 divisors (see below), whose sum is σ = 5030387712. Its totient is φ = 1406496000.

The previous prime is 2838638623. The next prime is 2838638701. The reversal of 2838638649 is 9468368382.

It is a happy number.

It is not a de Polignac number, because 2838638649 - 25 = 2838638617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2838638549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3115504 + ... + 3116414.

It is an arithmetic number, because the mean of its divisors is an integer number (52399872).

Almost surely, 22838638649 is an apocalyptic number.

It is an amenable number.

2838638649 is a deficient number, since it is larger than the sum of its proper divisors (2191749063).

2838638649 is a wasteful number, since it uses less digits than its factorization.

2838638649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1020 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The square root of 2838638649 is about 53278.8761987338. The cubic root of 2838638649 is about 1415.9134390214.

The spelling of 2838638649 in words is "two billion, eight hundred thirty-eight million, six hundred thirty-eight thousand, six hundred forty-nine".

Divisors: 1 3 7 11 21 33 41 47 49 77 123 141 147 231 287 329 451 517 539 861 911 987 1353 1551 1617 1927 2009 2303 2733 3157 3619 5781 6027 6377 6909 9471 10021 10857 13489 19131 21197 22099 25333 30063 37351 40467 42817 44639 63591 66297 70147 75999 94423 112053 128451 133917 148379 210441 261457 283269 299719 410861 445137 470987 491029 784371 899157 1038653 1232583 1412961 1473087 1755497 1830199 2098033 2876027 3115959 3296909 5266491 5490597 6294099 8628081 9890727 12288479 19310467 20132189 23078363 36865437 57931401 60396567 69235089 86019353 135173269 258058059 405519807 946212883 2838638649