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824131425 = 352132929147
BaseRepresentation
bin110001000111110…
…011111101100001
32010102202012210010
4301013303331201
53141434201200
6213435555133
726265000345
oct6107637541
92112665703
10824131425
11393223157
121abbbbaa9
13101981940
147b64b625
154c542150
hex311f3f61

824131425 has 48 divisors (see below), whose sum is σ = 1518027840. Its totient is φ = 391722240.

The previous prime is 824131393. The next prime is 824131439. The reversal of 824131425 is 524131428.

It is not a de Polignac number, because 824131425 - 25 = 824131393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 824131392 and 824131401.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13702 + ... + 42848.

It is an arithmetic number, because the mean of its divisors is an integer number (31625580).

Almost surely, 2824131425 is an apocalyptic number.

It is an amenable number.

824131425 is a deficient number, since it is larger than the sum of its proper divisors (693896415).

824131425 is a wasteful number, since it uses less digits than its factorization.

824131425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29202 (or 29197 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 824131425 is about 28707.6893009521. The cubic root of 824131425 is about 937.5594700052.

It can be divided in two parts, 82413 and 1425, that added together give a palindrome (83838).

The spelling of 824131425 in words is "eight hundred twenty-four million, one hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 13 15 25 29 39 65 75 87 145 195 325 377 435 725 975 1131 1885 2175 5655 9425 28275 29147 87441 145735 378911 437205 728675 845263 1136733 1894555 2186025 2535789 4226315 5683665 9472775 10988419 12678945 21131575 28418325 32965257 54942095 63394725 164826285 274710475 824131425