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42032565 = 325934057
BaseRepresentation
bin1010000001010…
…1110110110101
32221002110211200
42200111312311
541230020230
64100523113
71020161631
oct240256665
987073750
1042032565
11217a9763
12120b0499
138928a53
145821dc1
153a54160
hex2815db5

42032565 has 12 divisors (see below), whose sum is σ = 72856524. Its totient is φ = 22417344.

The previous prime is 42032563. The next prime is 42032567. The reversal of 42032565 is 56523024.

42032565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42032563) and next prime (42032567).

It can be written as a sum of positive squares in 2 ways, for example, as 31102929 + 10929636 = 5577^2 + 3306^2 .

It is not a de Polignac number, because 42032565 - 21 = 42032563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032561) 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 11 ways as a sum of consecutive naturals, for example, 466984 + ... + 467073.

It is an arithmetic number, because the mean of its divisors is an integer number (6071377).

Almost surely, 242032565 is an apocalyptic number.

42032565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42032565 is a deficient number, since it is larger than the sum of its proper divisors (30823959).

42032565 is a wasteful number, since it uses less digits than its factorization.

42032565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934068 (or 934065 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42032565 is about 6483.2526558819. The cubic root of 42032565 is about 347.6924800159.

Adding to 42032565 its reverse (56523024), we get a palindrome (98555589).

The spelling of 42032565 in words is "forty-two million, thirty-two thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 934057 2802171 4670285 8406513 14010855 42032565