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5906998449 = 321121721372
BaseRepresentation
bin1011000000001010…
…11010010010110001
3120020200001121112100
411200011122102301
544044142422244
62414051251013
7266244441552
oct54005322261
916220047470
105906998449
11256138a400
12118a2a9a69
13731a35871
14400720329
152488b6b69
hex16015a4b1

5906998449 has 81 divisors (see below), whose sum is σ = 10035892321. Its totient is φ = 3344816640.

The previous prime is 5906998417. The next prime is 5906998481. The reversal of 5906998449 is 9448996095.

The square root of 5906998449 is 76857.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5906998417) and next prime (5906998481).

It can be written as a sum of positive squares in 4 ways, for example, as 826160049 + 5080838400 = 28743^2 + 71280^2 .

It is not a de Polignac number, because 5906998449 - 25 = 5906998417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5906998849) 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 80 ways as a sum of consecutive naturals, for example, 43116709 + ... + 43116845.

Almost surely, 25906998449 is an apocalyptic number.

5906998449 is the 76857-th square number.

5906998449 is the 38429-th centered octagonal number.

It is an amenable number.

5906998449 is a deficient number, since it is larger than the sum of its proper divisors (4128893872).

5906998449 is a wasteful number, since it uses less digits than its factorization.

5906998449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The cubic root of 5906998449 is about 1807.6830491315.

The spelling of 5906998449 in words is "five billion, nine hundred six million, nine hundred ninety-eight thousand, four hundred forty-nine".

Divisors: 1 3 9 11 17 33 51 99 121 137 153 187 289 363 411 561 867 1089 1233 1507 1683 2057 2329 2601 3179 4521 6171 6987 9537 13563 16577 18513 18769 20961 25619 28611 34969 39593 49731 56307 76857 104907 118779 149193 168921 206459 230571 281809 314721 319073 356337 435523 619377 845427 957219 1306569 1858131 2271049 2536281 2871657 3509803 3919707 4790753 5424241 6813147 10529409 14372259 16272723 20439441 31588227 38607833 43116777 48818169 59666651 115823499 178999953 347470497 536999859 656333161 1968999483 5906998449