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442678041 = 3413420397
BaseRepresentation
bin11010011000101…
…011101100011001
31010211222101010000
4122120223230121
51401311144131
6111532043213
713653462351
oct3230535431
91124871100
10442678041
11207975623
12104303509
1370935090
1442b13b61
1528ce3ce6
hex1a62bb19

442678041 has 20 divisors (see below), whose sum is σ = 712154212. Its totient is φ = 272416608.

The previous prime is 442678039. The next prime is 442678063. The reversal of 442678041 is 140876244.

It can be written as a sum of positive squares in 2 ways, for example, as 36252441 + 406425600 = 6021^2 + 20160^2 .

It is not a de Polignac number, because 442678041 - 21 = 442678039 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442677987 and 442678005.

It is not an unprimeable number, because it can be changed into a prime (442678741) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 209146 + ... + 211251.

Almost surely, 2442678041 is an apocalyptic number.

It is an amenable number.

442678041 is a deficient number, since it is larger than the sum of its proper divisors (269476171).

442678041 is a wasteful number, since it uses less digits than its factorization.

442678041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420422 (or 420413 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 442678041 is about 21039.9154228338. The cubic root of 442678041 is about 762.1304724198.

The spelling of 442678041 in words is "four hundred forty-two million, six hundred seventy-eight thousand, forty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 420397 1261191 3783573 5465161 11350719 16395483 34052157 49186449 147559347 442678041