Search a number
-
+
42195609 = 3229269601
BaseRepresentation
bin1010000011110…
…1101010011001
32221101202111100
42200331222121
541300224414
64104222013
71021441161
oct240755231
987352440
1042195609
1121900205
121216a909
138985021
1458655a1
153a87609
hex283da99

42195609 has 24 divisors (see below), whose sum is σ = 63390600. Its totient is φ = 27014400.

The previous prime is 42195607. The next prime is 42195611. The reversal of 42195609 is 90659124.

42195609 is a `hidden beast` number, since 42 + 1 + 9 + 5 + 609 = 666.

42195609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42195607) and next prime (42195611).

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 37785609 = 2100^2 + 6147^2 .

It is not a de Polignac number, because 42195609 - 21 = 42195607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42195607) 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, 69909 + ... + 70509.

It is an arithmetic number, because the mean of its divisors is an integer number (2641275).

Almost surely, 242195609 is an apocalyptic number.

It is an amenable number.

42195609 is a deficient number, since it is larger than the sum of its proper divisors (21194991).

42195609 is a wasteful number, since it uses less digits than its factorization.

42195609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 42195609 is about 6495.8147295008. The cubic root of 42195609 is about 348.1414654736.

The spelling of 42195609 in words is "forty-two million, one hundred ninety-five thousand, six hundred nine".

Divisors: 1 3 9 29 87 261 269 601 807 1803 2421 5409 7801 17429 23403 52287 70209 156861 161669 485007 1455021 4688401 14065203 42195609