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42004065 = 353775683
BaseRepresentation
bin1010000000111…
…0111001100001
32221001000202010
42200032321201
541223112230
64100143133
71020012555
oct240167141
987030663
1042004065
112178a304
1212097aa9
138918a9c
145815865
153a4a9b0
hex280ee61

42004065 has 16 divisors (see below), whose sum is σ = 69023808. Its totient is φ = 21796416.

The previous prime is 42004013. The next prime is 42004069. The reversal of 42004065 is 56040024.

It is a happy number.

It is not a de Polignac number, because 42004065 - 29 = 42003553 is a prime.

42004065 is a modest number, since divided by 4065 gives 420 as remainder.

It is not an unprimeable number, because it can be changed into a prime (42004069) 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 15 ways as a sum of consecutive naturals, for example, 37287 + ... + 38396.

It is an arithmetic number, because the mean of its divisors is an integer number (4313988).

Almost surely, 242004065 is an apocalyptic number.

It is an amenable number.

42004065 is a deficient number, since it is larger than the sum of its proper divisors (27019743).

42004065 is a wasteful number, since it uses less digits than its factorization.

42004065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75728.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42004065 is about 6481.0543123785. The cubic root of 42004065 is about 347.6138784509.

Adding to 42004065 its reverse (56040024), we get a palindrome (98044089).

The spelling of 42004065 in words is "forty-two million, four thousand, sixty-five".

Divisors: 1 3 5 15 37 111 185 555 75683 227049 378415 1135245 2800271 8400813 14001355 42004065