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42016905 = 3257133387
BaseRepresentation
bin1010000001001…
…0000010001001
32221001200100200
42200102002021
541224020110
64100322413
71020065160
oct240220211
987050320
1042016905
1121798a17
12120a3409
138921898
14581a3d7
153a4e6c0
hex2812089

42016905 has 24 divisors (see below), whose sum is σ = 83234112. Its totient is φ = 19207584.

The previous prime is 42016889. The next prime is 42016907. The reversal of 42016905 is 50961024.

It is not a de Polignac number, because 42016905 - 24 = 42016889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42016907) 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 23 ways as a sum of consecutive naturals, for example, 66379 + ... + 67008.

It is an arithmetic number, because the mean of its divisors is an integer number (3468088).

Almost surely, 242016905 is an apocalyptic number.

42016905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42016905 is a deficient number, since it is larger than the sum of its proper divisors (41217207).

42016905 is a wasteful number, since it uses less digits than its factorization.

42016905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133405 (or 133402 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42016905 is about 6482.0448162598. The cubic root of 42016905 is about 347.6492949238.

Adding to 42016905 its reverse (50961024), we get a palindrome (92977929).

The spelling of 42016905 in words is "forty-two million, sixteen thousand, nine hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 133387 400161 666935 933709 1200483 2000805 2801127 4668545 6002415 8403381 14005635 42016905