Search a number
-
+
42180273 = 324686697
BaseRepresentation
bin1010000011100…
…1111010110001
32221100222110100
42200321322301
541244232043
64104023013
71021345362
oct240717261
987328410
1042180273
112189a733
1212161a69
13897b055
14585db69
153a82cd3
hex2839eb1

42180273 has 6 divisors (see below), whose sum is σ = 60927074. Its totient is φ = 28120176.

The previous prime is 42180269. The next prime is 42180287. The reversal of 42180273 is 37208124.

42180273 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., 31270464 + 10909809 = 5592^2 + 3303^2 .

It is not a de Polignac number, because 42180273 - 22 = 42180269 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42180253) 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, 2343340 + ... + 2343357.

Almost surely, 242180273 is an apocalyptic number.

It is an amenable number.

42180273 is a deficient number, since it is larger than the sum of its proper divisors (18746801).

42180273 is a wasteful number, since it uses less digits than its factorization.

42180273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686703 (or 4686700 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42180273 is about 6494.6341698359. The cubic root of 42180273 is about 348.0992830080.

Adding to 42180273 its reverse (37208124), we get a palindrome (79388397).

It can be divided in two parts, 421802 and 73, that added together give a cube (421875 = 753).

The spelling of 42180273 in words is "forty-two million, one hundred eighty thousand, two hundred seventy-three".

Divisors: 1 3 9 4686697 14060091 42180273