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42134607 = 334733203
BaseRepresentation
bin1010000010111…
…0110001001111
32221021122211000
42200232301033
541241301412
64103031343
71021065264
oct240566117
987248730
1042134607
1121869399
121213b553
138963328
14584b26b
153a744dc
hex282ec4f

42134607 has 16 divisors (see below), whose sum is σ = 63751680. Its totient is φ = 27491256.

The previous prime is 42134579. The next prime is 42134621. The reversal of 42134607 is 70643124.

42134607 is a `hidden beast` number, since 4 + 21 + 34 + 607 = 666.

42134607 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 42134607 - 27 = 42134479 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 (42134627) 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 15 ways as a sum of consecutive naturals, for example, 15333 + ... + 17870.

It is an arithmetic number, because the mean of its divisors is an integer number (3984480).

Almost surely, 242134607 is an apocalyptic number.

42134607 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42134607 is a deficient number, since it is larger than the sum of its proper divisors (21617073).

42134607 is a wasteful number, since it uses less digits than its factorization.

42134607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33259 (or 33253 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 42134607 is about 6491.1175463090. The cubic root of 42134607 is about 347.9736157167.

The spelling of 42134607 in words is "forty-two million, one hundred thirty-four thousand, six hundred seven".

Divisors: 1 3 9 27 47 141 423 1269 33203 99609 298827 896481 1560541 4681623 14044869 42134607