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486684 = 2232111229
BaseRepresentation
bin1110110110100011100
3220201121100
41312310130
5111033214
614233100
74064622
oct1666434
9821540
10486684
11302720
121b5790
131406a3
14c9512
1599309
hex76d1c

486684 has 36 divisors (see below), whose sum is σ = 1343160. Its totient is φ = 147360.

The previous prime is 486683. The next prime is 486697.

486684 is nontrivially palindromic in base 10.

486684 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4866842 = 473722631712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486683) 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 11 ways as a sum of consecutive naturals, for example, 219 + ... + 1010.

It is an arithmetic number, because the mean of its divisors is an integer number (37310).

2486684 is an apocalyptic number.

486684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

486684 is an abundant number, since it is smaller than the sum of its proper divisors (856476).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

486684 is a wasteful number, since it uses less digits than its factorization.

486684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1245 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 486684 is about 697.6274077185. The cubic root of 486684 is about 78.6591090445.

It can be divided in two parts, 4866 and 84, that added together give a triangular number (4950 = T99).

The spelling of 486684 in words is "four hundred eighty-six thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1229 2458 3687 4916 7374 11061 13519 14748 22122 27038 40557 44244 54076 81114 121671 162228 243342 486684