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482315211 = 327172953293
BaseRepresentation
bin11100101111111…
…000101111001011
31020121120011002100
4130233320233023
51441433041321
6115505404443
714644416540
oct3457705713
91217504070
10482315211
11228288614
12115639723
1378c02721
14480b0bc7
152c523326
hex1cbf8bcb

482315211 has 96 divisors (see below), whose sum is σ = 891596160. Its totient is φ = 244887552.

The previous prime is 482315191. The next prime is 482315237. The reversal of 482315211 is 112513284.

482315211 is a nontrivial binomial coefficient, being equal to C(31059, 2).

It is not a de Polignac number, because 482315211 - 215 = 482282443 is a prime.

482315211 is a modest number, since divided by 15211 gives 4823 as remainder.

It is not an unprimeable number, because it can be changed into a prime (482315011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1645981 + ... + 1646273.

It is an arithmetic number, because the mean of its divisors is an integer number (9287460).

Almost surely, 2482315211 is an apocalyptic number.

482315211 is the 31058-th triangular number.

482315211 is a deficient number, since it is larger than the sum of its proper divisors (409280949).

482315211 is a wasteful number, since it uses less digits than its factorization.

482315211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 402 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 482315211 is about 21961.6759606365. The cubic root of 482315211 is about 784.2303630941.

Adding to 482315211 its reverse (112513284), we get a palindrome (594828495).

The spelling of 482315211 in words is "four hundred eighty-two million, three hundred fifteen thousand, two hundred eleven".

Divisors: 1 3 7 9 17 21 29 51 53 63 87 119 153 159 203 261 293 357 371 477 493 609 879 901 1071 1113 1479 1537 1827 2051 2637 2703 3339 3451 4437 4611 4981 6153 6307 8109 8497 10353 10759 13833 14943 15529 18459 18921 25491 26129 31059 32277 34867 44829 46587 56763 59479 76473 78387 96831 104601 108703 139761 144449 178437 182903 235161 263993 313803 326109 433347 450341 535311 548709 791979 978327 1011143 1300041 1351023 1646127 1847951 2375937 3033429 3152387 4053069 5543853 7655797 9100287 9457161 16631559 22967391 28371483 53590579 68902173 160771737 482315211