Search a number
-
+
42185077 = 112348637
BaseRepresentation
bin1010000011101…
…1000101110101
32221101020001021
42200323011311
541244410302
64104101141
71021365364
oct240730565
987336037
1042185077
11218a3300
12121647b1
1389802ac
1458617db
153a84437
hex283b175

42185077 has 6 divisors (see below), whose sum is σ = 46368854. Its totient is φ = 38349960.

The previous prime is 42185063. The next prime is 42185081. The reversal of 42185077 is 77058124.

It is a happy number.

42185077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21446161 + 20738916 = 4631^2 + 4554^2 .

It is not a de Polignac number, because 42185077 - 219 = 41660789 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 (42185977) 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 5 ways as a sum of consecutive naturals, for example, 174198 + ... + 174439.

Almost surely, 242185077 is an apocalyptic number.

It is an amenable number.

42185077 is a deficient number, since it is larger than the sum of its proper divisors (4183777).

42185077 is a wasteful number, since it uses less digits than its factorization.

42185077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348659 (or 348648 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 42185077 is about 6495.0040030781. The cubic root of 42185077 is about 348.1124977594.

The spelling of 42185077 in words is "forty-two million, one hundred eighty-five thousand, seventy-seven".

Divisors: 1 11 121 348637 3835007 42185077