Search a number
-
+
42195285 = 3251185243
BaseRepresentation
bin1010000011110…
…1100101010101
32221101202001100
42200331211111
541300222120
64104220313
71021440216
oct240754525
987352040
1042195285
11218aaa40
121216a699
138984b32
14586540d
153a87490
hex283d955

42195285 has 24 divisors (see below), whose sum is σ = 79788384. Its totient is φ = 20458080.

The previous prime is 42195259. The next prime is 42195287. The reversal of 42195285 is 58259124.

42195285 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 42195285 - 25 = 42195253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42195287) 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 23 ways as a sum of consecutive naturals, for example, 42127 + ... + 43116.

It is an arithmetic number, because the mean of its divisors is an integer number (3324516).

Almost surely, 242195285 is an apocalyptic number.

42195285 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42195285 is a deficient number, since it is larger than the sum of its proper divisors (37593099).

42195285 is a wasteful number, since it uses less digits than its factorization.

42195285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85265 (or 85262 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 42195285 is about 6495.7897903180. The cubic root of 42195285 is about 348.1405744004.

The spelling of 42195285 in words is "forty-two million, one hundred ninety-five thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 85243 255729 426215 767187 937673 1278645 2813019 3835935 4688365 8439057 14065095 42195285