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42017313 = 31310110667
BaseRepresentation
bin1010000001001…
…0001000100001
32221001200220210
42200102020201
541224023223
64100324333
71020066312
oct240221041
987050823
1042017313
1121799258
12120a36a9
138921b20
14581a609
153a4e893
hex2812221

42017313 has 16 divisors (see below), whose sum is σ = 60935616. Its totient is φ = 25598400.

The previous prime is 42017309. The next prime is 42017329. The reversal of 42017313 is 31371024.

It is not a de Polignac number, because 42017313 - 22 = 42017309 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42017313.

It is not an unprimeable number, because it can be changed into a prime (42017363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395 + ... + 9272.

It is an arithmetic number, because the mean of its divisors is an integer number (3808476).

Almost surely, 242017313 is an apocalyptic number.

It is an amenable number.

42017313 is a deficient number, since it is larger than the sum of its proper divisors (18918303).

42017313 is a wasteful number, since it uses less digits than its factorization.

42017313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 42017313 is about 6482.0762877337. The cubic root of 42017313 is about 347.6504201887.

Adding to 42017313 its reverse (31371024), we get a palindrome (73388337).

The spelling of 42017313 in words is "forty-two million, seventeen thousand, three hundred thirteen".

Divisors: 1 3 13 39 101 303 1313 3939 10667 32001 138671 416013 1077367 3232101 14005771 42017313