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42212565 = 325938057
BaseRepresentation
bin1010000100000…
…1110011010101
32221102121202100
42201001303111
541301300230
64104432313
71021541463
oct241016325
987377670
1042212565
1121911a1a
1212178699
13898c965
14586b833
153a8c660
hex2841cd5

42212565 has 12 divisors (see below), whose sum is σ = 73168524. Its totient is φ = 22513344.

The previous prime is 42212551. The next prime is 42212587. The reversal of 42212565 is 56521224.

It can be written as a sum of positive squares in 2 ways, for example, as 11675889 + 30536676 = 3417^2 + 5526^2 .

It is not a de Polignac number, because 42212565 - 26 = 42212501 is a prime.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 468984 + ... + 469073.

It is an arithmetic number, because the mean of its divisors is an integer number (6097377).

Almost surely, 242212565 is an apocalyptic number.

42212565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42212565 is a deficient number, since it is larger than the sum of its proper divisors (30955959).

42212565 is a wasteful number, since it uses less digits than its factorization.

42212565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938068 (or 938065 counting only the distinct ones).

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

The square root of 42212565 is about 6497.1197464723. The cubic root of 42212565 is about 348.1880919378.

Adding to 42212565 its reverse (56521224), we get a palindrome (98733789).

It can be divided in two parts, 4221 and 2565, that added together give a triangular number (6786 = T116).

The spelling of 42212565 in words is "forty-two million, two hundred twelve thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 938057 2814171 4690285 8442513 14070855 42212565