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485605 = 51729197
BaseRepresentation
bin1110110100011100101
3220200010101
41312203211
5111014410
614224101
74061521
oct1664345
9820111
10485605
1130192a
121b5031
13140053
14c8d81
1598d3a
hex768e5

485605 has 16 divisors (see below), whose sum is σ = 641520. Its totient is φ = 351232.

The previous prime is 485603. The next prime is 485609. The reversal of 485605 is 506584.

485605 is a nontrivial binomial coefficient, being equal to C(986, 2).

It can be written as a sum of positive squares in 8 ways, for example, as 77284 + 408321 = 278^2 + 639^2 .

It is a 5-Lehmer number, since φ(485605) divides (485605-1)5.

It is a cyclic number.

It is not a de Polignac number, because 485605 - 21 = 485603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2367 + ... + 2563.

It is an arithmetic number, because the mean of its divisors is an integer number (40095).

2485605 is an apocalyptic number.

485605 is the 985-th triangular number and also the 493-rd hexagonal number.

485605 is the 329-th centered nonagonal number.

It is an amenable number.

485605 is a deficient number, since it is larger than the sum of its proper divisors (155915).

485605 is a wasteful number, since it uses less digits than its factorization.

485605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 485605 is about 696.8536431705. The cubic root of 485605 is about 78.6009357886.

The spelling of 485605 in words is "four hundred eighty-five thousand, six hundred five".

Divisors: 1 5 17 29 85 145 197 493 985 2465 3349 5713 16745 28565 97121 485605