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442879041 = 311891011493
BaseRepresentation
bin11010011001011…
…100110001000001
31010212100120211110
4122121130301001
51401334112131
6111540233533
713655260353
oct3231346101
91125316743
10442879041
11207aa2640
1210439b8a9
13709a5707
1442b670d3
1528d33646
hex1a65cc41

442879041 has 32 divisors (see below), whose sum is σ = 658316160. Its totient is φ = 262592000.

The previous prime is 442879033. The next prime is 442879057. The reversal of 442879041 is 140978244.

It is not a de Polignac number, because 442879041 - 23 = 442879033 is a prime.

It is a super-2 number, since 2×4428790412 = 392283689914159362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442879081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295891 + ... + 297383.

It is an arithmetic number, because the mean of its divisors is an integer number (20572380).

Almost surely, 2442879041 is an apocalyptic number.

It is an amenable number.

442879041 is a deficient number, since it is larger than the sum of its proper divisors (215437119).

442879041 is a wasteful number, since it uses less digits than its factorization.

442879041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 442879041 is about 21044.6915159144. The cubic root of 442879041 is about 762.2458045809.

The spelling of 442879041 in words is "four hundred forty-two million, eight hundred seventy-nine thousand, forty-one".

Divisors: 1 3 11 33 89 101 267 303 979 1111 1493 2937 3333 4479 8989 16423 26967 49269 98879 132877 150793 296637 398631 452379 1461647 1658723 4384941 4976169 13420577 40261731 147626347 442879041