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42132717 = 341147287
BaseRepresentation
bin1010000010111…
…0010011101101
32221021120020000
42200232103231
541241221332
64103014513
71021056624
oct240562355
987246200
1042132717
1121867a30
121213a439
138962503
14584a6bb
153a73b7c
hex282e4ed

42132717 has 20 divisors (see below), whose sum is σ = 68662176. Its totient is φ = 25534440.

The previous prime is 42132703. The next prime is 42132719. The reversal of 42132717 is 71723124.

It is a happy number.

42132717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42132717 - 26 = 42132653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42132719) 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 19 ways as a sum of consecutive naturals, for example, 22753 + ... + 24534.

Almost surely, 242132717 is an apocalyptic number.

It is an amenable number.

42132717 is a deficient number, since it is larger than the sum of its proper divisors (26529459).

42132717 is a wasteful number, since it uses less digits than its factorization.

42132717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47310 (or 47301 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 42132717 is about 6490.9719611165. The cubic root of 42132717 is about 347.9684127097.

It can be divided in two parts, 42132 and 717, that added together give a square (42849 = 2072).

The spelling of 42132717 in words is "forty-two million, one hundred thirty-two thousand, seven hundred seventeen".

Divisors: 1 3 9 11 27 33 81 99 297 891 47287 141861 425583 520157 1276749 1560471 3830247 4681413 14044239 42132717