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442187317 = 11132317673
BaseRepresentation
bin11010010110110…
…011111000110101
31010211001102222001
4122112303320311
51401144443232
6111513335301
713646346565
oct3226637065
91124042861
10442187317
1120766a970
12104107531
13707c2900
1442a26da5
1528c486e7
hex1a5b3e35

442187317 has 24 divisors (see below), whose sum is σ = 539267328. Its totient is φ = 359049600.

The previous prime is 442187309. The next prime is 442187329. The reversal of 442187317 is 713781244.

It is not a de Polignac number, because 442187317 - 23 = 442187309 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442187117) 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, 53793 + ... + 61465.

It is an arithmetic number, because the mean of its divisors is an integer number (22469472).

Almost surely, 2442187317 is an apocalyptic number.

It is an amenable number.

442187317 is a deficient number, since it is larger than the sum of its proper divisors (97080011).

442187317 is a wasteful number, since it uses less digits than its factorization.

442187317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7741 (or 7728 counting only the distinct ones).

The product of its digits is 37632, while the sum is 37.

The square root of 442187317 is about 21028.2504502871. The cubic root of 442187317 is about 761.8487522528.

The spelling of 442187317 in words is "four hundred forty-two million, one hundred eighty-seven thousand, three hundred seventeen".

Divisors: 1 11 13 31 143 169 341 403 1859 4433 5239 7673 57629 84403 99749 237863 1097239 1296737 2616493 3092219 14264107 34014409 40198847 442187317