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42760127 = 192937681
BaseRepresentation
bin1010001100011…
…1011110111111
32222110102212102
42203013132333
541421311002
64124255315
71026312044
oct243073677
988412772
1042760127
1122156353
12123a153b
138b21c67
1459711cb
153b49a02
hex28c77bf

42760127 has 8 divisors (see below), whose sum is σ = 45170160. Its totient is φ = 40366080.

The previous prime is 42760121. The next prime is 42760147. The reversal of 42760127 is 72106724.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42760127 - 24 = 42760111 is a prime.

It is a super-2 number, since 2×427601272 = 3656856922112258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42760127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42760121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1727 + ... + 9407.

It is an arithmetic number, because the mean of its divisors is an integer number (5646270).

Almost surely, 242760127 is an apocalyptic number.

42760127 is a deficient number, since it is larger than the sum of its proper divisors (2410033).

42760127 is a wasteful number, since it uses less digits than its factorization.

42760127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993.

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 42760127 is about 6539.1228004986. The cubic root of 42760127 is about 349.6871408319.

The spelling of 42760127 in words is "forty-two million, seven hundred sixty thousand, one hundred twenty-seven".

Divisors: 1 19 293 5567 7681 145939 2250533 42760127