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42505065 = 3258910613
BaseRepresentation
bin1010001000100…
…1001101101001
32221222110222200
42202021031221
541340130230
64115010413
71024200321
oct242111551
987873880
1042505065
1121aa1759
1212299a09
138a62b35
145906281
153ae9160
hex2889369

42505065 has 24 divisors (see below), whose sum is σ = 74510280. Its totient is φ = 22412544.

The previous prime is 42505051. The next prime is 42505103. The reversal of 42505065 is 56050524.

It can be written as a sum of positive squares in 4 ways, for example, as 10830681 + 31674384 = 3291^2 + 5628^2 .

It is not a de Polignac number, because 42505065 - 28 = 42504809 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1302 + ... + 9311.

It is an arithmetic number, because the mean of its divisors is an integer number (3104595).

Almost surely, 242505065 is an apocalyptic number.

42505065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42505065 is a deficient number, since it is larger than the sum of its proper divisors (32005215).

42505065 is a wasteful number, since it uses less digits than its factorization.

42505065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713 (or 10710 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 42505065 is about 6519.5908613961. The cubic root of 42505065 is about 348.9904650614.

Adding to 42505065 its reverse (56050524), we get a palindrome (98555589).

The spelling of 42505065 in words is "forty-two million, five hundred five thousand, sixty-five".

Divisors: 1 3 5 9 15 45 89 267 445 801 1335 4005 10613 31839 53065 95517 159195 477585 944557 2833671 4722785 8501013 14168355 42505065