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485454564 = 223272275201
BaseRepresentation
bin11100111011110…
…111001011100100
31020211110122110200
4130323313023210
51443234021224
6120100550500
715013203300
oct3473671344
91224418420
10485454564
1122a032221
121166b2430
137976162a
144868ad00
152c9435c9
hex1cef72e4

485454564 has 54 divisors (see below), whose sum is σ = 1427472774. Its totient is φ = 138700800.

The previous prime is 485454551. The next prime is 485454569. The reversal of 485454564 is 465454584.

It is a happy number.

485454564 is a `hidden beast` number, since 4 + 8 + 545 + 45 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 484352064 + 1102500 = 22008^2 + 1050^2 .

It is a super-2 number, since 2×4854545642 = 471332267416860192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (485454569) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 135837 + ... + 139364.

It is an arithmetic number, because the mean of its divisors is an integer number (26434681).

Almost surely, 2485454564 is an apocalyptic number.

It is an amenable number.

485454564 is an abundant number, since it is smaller than the sum of its proper divisors (942018210).

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

485454564 is a wasteful number, since it uses less digits than its factorization.

485454564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275225 (or 275213 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The square root of 485454564 is about 22033.0334724931. The cubic root of 485454564 is about 785.9281833262.

The spelling of 485454564 in words is "four hundred eighty-five million, four hundred fifty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 275201 550402 825603 1100804 1651206 1926407 2476809 3302412 3852814 4953618 5779221 7705628 9907236 11558442 13484849 17337663 23116884 26969698 34675326 40454547 53939396 69350652 80909094 121363641 161818188 242727282 485454564