Search a number
-
+
42148127 = 731434517
BaseRepresentation
bin1010000011001…
…0000100011111
32221022100100202
42200302010133
541242220002
64103214115
71021152560
oct240620437
987270322
1042148127
112187856a
121214733b
138969528
145852167
153a78502
hex283211f

42148127 has 16 divisors (see below), whose sum is σ = 50890752. Its totient is φ = 34140960.

The previous prime is 42148109. The next prime is 42148153. The reversal of 42148127 is 72184124.

It is not a de Polignac number, because 42148127 - 210 = 42147103 is a prime.

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 42148127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42148157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7073 + ... + 11589.

It is an arithmetic number, because the mean of its divisors is an integer number (3180672).

Almost surely, 242148127 is an apocalyptic number.

42148127 is a deficient number, since it is larger than the sum of its proper divisors (8742625).

42148127 is a wasteful number, since it uses less digits than its factorization.

42148127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598.

The product of its digits is 3584, while the sum is 29.

The square root of 42148127 is about 6492.1588859177. The cubic root of 42148127 is about 348.0108305741.

The spelling of 42148127 in words is "forty-two million, one hundred forty-eight thousand, one hundred twenty-seven".

Divisors: 1 7 31 43 217 301 1333 4517 9331 31619 140027 194231 980189 1359617 6021161 42148127