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493660242 = 232192116841
BaseRepresentation
bin11101011011001…
…010100001010010
31021101220112112200
4131123022201102
52002334111432
6120552504030
715143020455
oct3533124122
91241815480
10493660242
11233727279
121193ab016
137b37556a
14497c549c
152d514a7c
hex1d6ca852

493660242 has 48 divisors (see below), whose sum is σ = 1131393120. Its totient is φ = 155131200.

The previous prime is 493660199. The next prime is 493660289. The reversal of 493660242 is 242066394.

493660242 is a `hidden beast` number, since 4 + 9 + 3 + 6 + 602 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 493660197 and 493660206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68742 + ... + 75582.

It is an arithmetic number, because the mean of its divisors is an integer number (23570690).

Almost surely, 2493660242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493660242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565696560).

493660242 is an abundant number, since it is smaller than the sum of its proper divisors (637732878).

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

493660242 is a wasteful number, since it uses less digits than its factorization.

493660242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7079 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 493660242 is about 22218.4662386943. The cubic root of 493660242 is about 790.3316676043.

The spelling of 493660242 in words is "four hundred ninety-three million, six hundred sixty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 211 342 422 633 1266 1899 3798 4009 6841 8018 12027 13682 20523 24054 36081 41046 61569 72162 123138 129979 259958 389937 779874 1169811 1443451 2339622 2886902 4330353 8660706 12991059 25982118 27425569 54851138 82276707 164553414 246830121 493660242