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442613466 = 232109433521
BaseRepresentation
bin11010011000011…
…011111011011010
31010211212002112100
4122120123323122
51401302112331
6111530424230
713653103161
oct3230337332
91124762470
10442613466
11207931059
12104292076
1370911879
1442ad83d8
1528cceae6
hex1a61beda

442613466 has 48 divisors (see below), whose sum is σ = 971890920. Its totient is φ = 145566720.

The previous prime is 442613461. The next prime is 442613467. The reversal of 442613466 is 664316244.

It can be written as a sum of positive squares in 4 ways, for example, as 291692241 + 150921225 = 17079^2 + 12285^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 442613466.

It is not an unprimeable number, because it can be changed into a prime (442613461) 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 23 ways as a sum of consecutive naturals, for example, 849286 + ... + 849806.

Almost surely, 2442613466 is an apocalyptic number.

442613466 is an abundant number, since it is smaller than the sum of its proper divisors (529277454).

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

442613466 is a wasteful number, since it uses less digits than its factorization.

442613466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1068 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 442613466 is about 21038.3807837010. The cubic root of 442613466 is about 762.0934124018.

The spelling of 442613466 in words is "four hundred forty-two million, six hundred thirteen thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 109 218 327 433 521 654 866 981 1042 1299 1563 1962 2598 3126 3897 4689 7794 9378 47197 56789 94394 113578 141591 170367 225593 283182 340734 424773 451186 511101 676779 849546 1022202 1353558 2030337 4060674 24589637 49179274 73768911 147537822 221306733 442613466