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42546105 = 3257314357
BaseRepresentation
bin1010001001001…
…1001110111001
32222001120021200
42202103032321
541342433410
64115524413
71024431060
oct242231671
988046250
1042546105
112201a578
12122b9709
138a78714
1459171d7
153b063c0
hex28933b9

42546105 has 48 divisors (see below), whose sum is σ = 87020544. Its totient is φ = 18817920.

The previous prime is 42546083. The next prime is 42546109. The reversal of 42546105 is 50164524.

42546105 is a `hidden beast` number, since 42 + 5 + 4 + 610 + 5 = 666.

42546105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42546105 - 27 = 42545977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42546109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7587 + ... + 11943.

It is an arithmetic number, because the mean of its divisors is an integer number (1812928).

Almost surely, 242546105 is an apocalyptic number.

42546105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42546105 is an abundant number, since it is smaller than the sum of its proper divisors (44474439).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42546105 is a wasteful number, since it uses less digits than its factorization.

42546105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 42546105 is about 6522.7375387946. The cubic root of 42546105 is about 349.1027494171.

The spelling of 42546105 in words is "forty-two million, five hundred forty-six thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 4357 9765 13071 21785 30499 39213 65355 91497 135067 152495 196065 274491 405201 457485 675335 945469 1215603 1372455 2026005 2836407 4727345 6078015 8509221 14182035 42546105