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442534287 = 313293731049
BaseRepresentation
bin11010011000001…
…000100110001111
31010211201001220210
4122120020212033
51401242044122
6111525013503
713652323266
oct3230104617
91124631823
10442534287
11207887618
12104254293
13708b4810
1442ab75dd
1528cb640c
hex1a60898f

442534287 has 32 divisors (see below), whose sum is σ = 659736000. Its totient is φ = 261983232.

The previous prime is 442534277. The next prime is 442534289. The reversal of 442534287 is 782435244.

It is a happy number.

It is not a de Polignac number, because 442534287 - 27 = 442534159 is a prime.

It is a super-3 number, since 3×4425342873 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442534289) 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, 421339 + ... + 422387.

It is an arithmetic number, because the mean of its divisors is an integer number (20616750).

Almost surely, 2442534287 is an apocalyptic number.

442534287 is a deficient number, since it is larger than the sum of its proper divisors (217201713).

442534287 is a wasteful number, since it uses less digits than its factorization.

442534287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467.

The product of its digits is 215040, while the sum is 39.

The square root of 442534287 is about 21036.4989244884. The cubic root of 442534287 is about 762.0479661321.

The spelling of 442534287 in words is "four hundred forty-two million, five hundred thirty-four thousand, two hundred eighty-seven".

Divisors: 1 3 13 29 39 87 373 377 1049 1119 1131 3147 4849 10817 13637 14547 30421 32451 40911 91263 140621 391277 395473 421863 1173831 1186419 5086601 11347033 15259803 34041099 147511429 442534287