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52792874289 = 321922921392
BaseRepresentation
bin110001001010101100…
…110101010100110001
312001021020002212220100
4301022230311110301
51331104433434124
640130330303013
73546154012251
oct611254652461
9161236085810
1052792874289
1120431223921
12a294287a69
134c9457376c
1427ab61b961
15158eb731c9
hexc4ab35531

52792874289 has 81 divisors (see below), whose sum is σ = 83955980043. Its totient is φ = 31961508768.

The previous prime is 52792874269. The next prime is 52792874291. The reversal of 52792874289 is 98247829725.

The square root of 52792874289 is 229767.

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

52792874289 is a `hidden beast` number, since 5 + 2 + 79 + 287 + 4 + 289 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27683302689 + 25109571600 = 166383^2 + 158460^2 .

It is not a de Polignac number, because 52792874289 - 217 = 52792743217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52792874209) 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 80 ways as a sum of consecutive naturals, for example, 379804782 + ... + 379804920.

Almost surely, 252792874289 is an apocalyptic number.

52792874289 is the 229767-th square number.

52792874289 is the 114884-th centered octagonal number.

It is an amenable number.

52792874289 is a deficient number, since it is larger than the sum of its proper divisors (31163105754).

52792874289 is a wasteful number, since it uses less digits than its factorization.

52792874289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 190 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 52792874289 in words is "fifty-two billion, seven hundred ninety-two million, eight hundred seventy-four thousand, two hundred eighty-nine".

Divisors: 1 3 9 19 29 57 87 139 171 261 361 417 551 841 1083 1251 1653 2523 2641 3249 4031 4959 7569 7923 10469 12093 15979 19321 23769 31407 36279 47937 50179 57963 76589 94221 116899 143811 150537 173889 229767 303601 350697 367099 451611 560309 689301 910803 1052091 1101297 1455191 1680927 2221081 2732409 3303891 4365573 5042781 6663243 6974881 10645871 13096719 16248961 19989729 20924643 31937613 42200539 48746883 62773929 95812839 126601617 146240649 202271549 308730259 379804851 606814647 926190777 1820443941 2778572331 5865874921 17597624763 52792874289