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42355313 = 711131719131
BaseRepresentation
bin1010000110010…
…0101001110001
32221200212120022
42201210221301
541320332223
64111453225
71023004610
oct241445161
987625508
1042355313
11219aa1a0
1212227215
138a0c920
1458a7877
153ab9ac8
hex2864a71

42355313 has 64 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 26956800.

The previous prime is 42355309. The next prime is 42355409. The reversal of 42355313 is 31355324.

It is not a de Polignac number, because 42355313 - 22 = 42355309 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42355013) 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 63 ways as a sum of consecutive naturals, for example, 323258 + ... + 323388.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 242355313 is an apocalyptic number.

It is an amenable number.

42355313 is a deficient number, since it is larger than the sum of its proper divisors (21511567).

42355313 is a wasteful number, since it uses less digits than its factorization.

42355313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198.

The product of its digits is 5400, while the sum is 26.

The square root of 42355313 is about 6508.0959581125. The cubic root of 42355313 is about 348.5801334432.

The spelling of 42355313 in words is "forty-two million, three hundred fifty-five thousand, three hundred thirteen".

Divisors: 1 7 11 13 17 19 77 91 119 131 133 143 187 209 221 247 323 917 1001 1309 1441 1463 1547 1703 1729 2227 2261 2431 2489 2717 3553 4199 10087 11921 15589 17017 17423 18733 19019 24497 24871 27379 28951 29393 32357 42313 46189 131131 171479 191653 202657 226499 296191 318461 323323 355927 465443 550069 2229227 2491489 3258101 3850483 6050759 42355313