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42567795 = 3352983131
BaseRepresentation
bin1010001001100…
…0100001110011
32222002200001000
42202120201303
541344132140
64120213043
71024551234
oct242304163
988080030
1042567795
11220348a6
121230a183
138a8555a
14592108b
153b0ca30
hex2898873

42567795 has 64 divisors (see below), whose sum is σ = 79833600. Its totient is φ = 21490560.

The previous prime is 42567793. The next prime is 42567803. The reversal of 42567795 is 59776524.

42567795 = T434 + T435 + ... + T695.

It is not a de Polignac number, because 42567795 - 21 = 42567793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42567795.

It is not an unprimeable number, because it can be changed into a prime (42567793) 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 63 ways as a sum of consecutive naturals, for example, 324880 + ... + 325010.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 242567795 is an apocalyptic number.

42567795 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42567795 is a deficient number, since it is larger than the sum of its proper divisors (37265805).

42567795 is a wasteful number, since it uses less digits than its factorization.

42567795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 42567795 is about 6524.3999724113. The cubic root of 42567795 is about 349.1620635209.

The spelling of 42567795 in words is "forty-two million, five hundred sixty-seven thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 15 27 29 45 83 87 131 135 145 249 261 393 415 435 655 747 783 1179 1245 1305 1965 2241 2407 3537 3735 3799 3915 5895 7221 10873 11205 11397 12035 17685 18995 21663 32619 34191 36105 54365 56985 64989 97857 102573 108315 163095 170955 293571 315317 324945 489285 512865 945951 1467855 1576585 2837853 4729755 8513559 14189265 42567795