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463025013 = 31124153587
BaseRepresentation
bin11011100110010…
…011001101110101
31012021021002220120
4123212103031311
51422013300023
6113540122153
714321435103
oct3346231565
91167232816
10463025013
11218402600
1210b096359
1374c0a3c9
14456ccc73
152a9b28e3
hex1b993375

463025013 has 48 divisors (see below), whose sum is σ = 709466688. Its totient is φ = 268153600.

The previous prime is 463025011. The next prime is 463025023. The reversal of 463025013 is 310520364.

It is a happy number.

It is not a de Polignac number, because 463025013 - 21 = 463025011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463025011) 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 47 ways as a sum of consecutive naturals, for example, 788506 + ... + 789092.

It is an arithmetic number, because the mean of its divisors is an integer number (14780556).

Almost surely, 2463025013 is an apocalyptic number.

It is an amenable number.

463025013 is a deficient number, since it is larger than the sum of its proper divisors (246441675).

463025013 is a wasteful number, since it uses less digits than its factorization.

463025013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 463025013 is about 21518.0160098463. The cubic root of 463025013 is about 773.6326986826.

Adding to 463025013 its reverse (310520364), we get a palindrome (773545377).

It can be divided in two parts, 46302 and 5013, that added together give a palindrome (51315).

The spelling of 463025013 in words is "four hundred sixty-three million, twenty-five thousand, thirteen".

Divisors: 1 3 11 33 41 53 121 123 159 363 451 583 587 1353 1749 1761 2173 4961 6413 6457 6519 14883 19239 19371 23903 24067 31111 71027 71709 72201 93333 213081 262933 264737 342221 788799 794211 1026663 1275551 2912107 3764431 3826653 8736321 11293293 14031061 42093183 154341671 463025013