Search a number
-
+
42772167 = 328775419
BaseRepresentation
bin1010001100101…
…0011011000111
32222111001101100
42203022123013
541422202132
64124431143
71026362124
oct243123307
988431340
1042772167
11221643a9
12123a84b3
138b27599
14597574b
153b4d37c
hex28ca6c7

42772167 has 12 divisors (see below), whose sum is σ = 61863880. Its totient is φ = 28477008.

The previous prime is 42772159. The next prime is 42772181. The reversal of 42772167 is 76127724.

It is a happy number.

42772167 is a `hidden beast` number, since 427 + 72 + 167 = 666.

42772167 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 42772167 - 23 = 42772159 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 (42772567) 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 11 ways as a sum of consecutive naturals, for example, 5184 + ... + 10602.

Almost surely, 242772167 is an apocalyptic number.

42772167 is a deficient number, since it is larger than the sum of its proper divisors (19091713).

42772167 is a wasteful number, since it uses less digits than its factorization.

42772167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6299 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 42772167 is about 6540.0433484802. The cubic root of 42772167 is about 349.7199583060.

The spelling of 42772167 in words is "forty-two million, seven hundred seventy-two thousand, one hundred sixty-seven".

Divisors: 1 3 9 877 2631 5419 7893 16257 48771 4752463 14257389 42772167