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42003675 = 3252726669
BaseRepresentation
bin1010000000111…
…0110011011011
32221001000012200
42200032303123
541223104200
64100141243
71020011460
oct240166333
987030180
1042003675
1121789a8a
1212097823
13891885c
145815667
153a4a800
hex280ecdb

42003675 has 36 divisors (see below), whose sum is σ = 85984080. Its totient is φ = 19200960.

The previous prime is 42003641. The next prime is 42003683. The reversal of 42003675 is 57630024.

It is a happy number.

42003675 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 42003675 - 29 = 42003163 is a prime.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 11760 + ... + 14909.

Almost surely, 242003675 is an apocalyptic number.

42003675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42003675 is an abundant number, since it is smaller than the sum of its proper divisors (43980405).

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

42003675 is a wasteful number, since it uses less digits than its factorization.

42003675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26692 (or 26684 counting only the distinct ones).

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

The square root of 42003675 is about 6481.0242246114. The cubic root of 42003675 is about 347.6128026040.

Adding to 42003675 its reverse (57630024), we get a palindrome (99633699).

It can be divided in two parts, 4200 and 3675, that added together give a triangular number (7875 = T125).

The spelling of 42003675 in words is "forty-two million, three thousand, six hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 26669 80007 133345 186683 240021 400035 560049 666725 933415 1200105 1680147 2000175 2800245 4667075 6000525 8400735 14001225 42003675