Search a number
-
+
42241005 = 3251755217
BaseRepresentation
bin1010000100100…
…0101111101101
32221111001202200
42201020233231
541303203010
64105212113
71022020422
oct241105755
987431680
1042241005
1121931324
1212191039
13899c8a1
145877d49
153a95cc0
hex2848bed

42241005 has 24 divisors (see below), whose sum is σ = 77526072. Its totient is φ = 21202944.

The previous prime is 42240977. The next prime is 42241027. The reversal of 42241005 is 50014224.

42241005 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 4 ways, for example, as 11737476 + 30503529 = 3426^2 + 5523^2 .

It is not a de Polignac number, because 42241005 - 25 = 42240973 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 26844 + ... + 28373.

It is an arithmetic number, because the mean of its divisors is an integer number (3230253).

Almost surely, 242241005 is an apocalyptic number.

42241005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42241005 is a deficient number, since it is larger than the sum of its proper divisors (35285067).

42241005 is a wasteful number, since it uses less digits than its factorization.

42241005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55245 (or 55242 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42241005 is about 6499.3080400917. The cubic root of 42241005 is about 348.2662696581.

Adding to 42241005 its reverse (50014224), we get a palindrome (92255229).

It can be divided in two parts, 4 and 2241005, that added together give a square (2241009 = 14972).

The spelling of 42241005 in words is "forty-two million, two hundred forty-one thousand, five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 55217 165651 276085 496953 828255 938689 2484765 2816067 4693445 8448201 14080335 42241005