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42657965 = 5710311833
BaseRepresentation
bin1010001010111…
…0100010101101
32222021020201122
42202232202231
541410023330
64122150325
71025405150
oct242564255
988236648
1042657965
1122096619
12123523a5
138ab75cc
145945c97
153b295e5
hex28ae8ad

42657965 has 16 divisors (see below), whose sum is σ = 59075328. Its totient is φ = 28964736.

The previous prime is 42657961. The next prime is 42657973. The reversal of 42657965 is 56975624.

42657965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42657965 - 22 = 42657961 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42657961) 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, 2312 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (3692208).

Almost surely, 242657965 is an apocalyptic number.

It is an amenable number.

42657965 is a deficient number, since it is larger than the sum of its proper divisors (16417363).

42657965 is a wasteful number, since it uses less digits than its factorization.

42657965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11948.

The product of its digits is 453600, while the sum is 44.

The square root of 42657965 is about 6531.3065308558. The cubic root of 42657965 is about 349.4084292606.

The spelling of 42657965 in words is "forty-two million, six hundred fifty-seven thousand, nine hundred sixty-five".

Divisors: 1 5 7 35 103 515 721 3605 11833 59165 82831 414155 1218799 6093995 8531593 42657965