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42112727 = 2971113181
BaseRepresentation
bin1010000010100…
…1011011010111
32221020112210122
42200221123113
541240101402
64102342155
71020644426
oct240513327
987215718
1042112727
1121853a08
121212a95b
138956397
1458432bd
153a6cca2
hex28296d7

42112727 has 16 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 39513600.

The previous prime is 42112711. The next prime is 42112769. The reversal of 42112727 is 72721124.

42112727 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 42112727 - 24 = 42112711 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42112696 and 42112705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42112127) 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, 232577 + ... + 232757.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 242112727 is an apocalyptic number.

42112727 is a deficient number, since it is larger than the sum of its proper divisors (2702953).

42112727 is a wasteful number, since it uses less digits than its factorization.

42112727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394.

The product of its digits is 1568, while the sum is 26.

The square root of 42112727 is about 6489.4319474049. The cubic root of 42112727 is about 347.9133724351.

The spelling of 42112727 in words is "forty-two million, one hundred twelve thousand, seven hundred twenty-seven".

Divisors: 1 29 71 113 181 2059 3277 5249 8023 12851 20453 232667 372679 593137 1452163 42112727