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42315273 = 32721121361
BaseRepresentation
bin1010000101101…
…0111000001001
32221121211122100
42201122320021
541313042043
64110544013
71022450100
oct241327011
987554570
1042315273
1121982100
1212208009
1389c7630
145897037
153aaccd3
hex285ae09

42315273 has 108 divisors (see below), whose sum is σ = 85544004. Its totient is φ = 19958400.

The previous prime is 42315269. The next prime is 42315277. The reversal of 42315273 is 37251324.

It is an interprime number because it is at equal distance from previous prime (42315269) and next prime (42315277).

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 38900169 = 1848^2 + 6237^2 .

It is not a de Polignac number, because 42315273 - 22 = 42315269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 693663 + ... + 693723.

Almost surely, 242315273 is an apocalyptic number.

It is an amenable number.

42315273 is an abundant number, since it is smaller than the sum of its proper divisors (43228731).

42315273 is a wasteful number, since it uses less digits than its factorization.

42315273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 42315273 is about 6505.0190622319. The cubic root of 42315273 is about 348.4702570355.

Adding to 42315273 its reverse (37251324), we get a palindrome (79566597).

The spelling of 42315273 in words is "forty-two million, three hundred fifteen thousand, two hundred seventy-three".

Divisors: 1 3 7 9 11 13 21 33 39 49 61 63 77 91 99 117 121 143 147 183 231 273 363 427 429 441 539 549 637 671 693 793 819 847 1001 1089 1281 1287 1573 1617 1911 2013 2379 2541 2989 3003 3843 4697 4719 4851 5551 5733 5929 6039 7007 7137 7381 7623 8723 8967 9009 11011 14091 14157 16653 17787 21021 22143 26169 26901 32879 33033 38857 42273 49959 51667 53361 61061 63063 66429 77077 78507 95953 98637 99099 116571 155001 183183 231231 287859 295911 349713 361669 427427 465003 549549 671671 693693 863577 1085007 1282281 2015013 3255021 3846843 4701697 6045039 14105091 42315273