Search a number
-
+
42414015 = 357676029
BaseRepresentation
bin1010000111001…
…0111110111111
32221210212002110
42201302332333
541324222030
64113025103
71023341010
oct241627677
987725073
1042414015
1121a3a306
1212255193
138a30567
1458c1007
153acc1b0
hex2872fbf

42414015 has 32 divisors (see below), whose sum is σ = 78727680. Its totient is φ = 19096704.

The previous prime is 42414011. The next prime is 42414017. The reversal of 42414015 is 51041424.

It is a happy number.

It is not a de Polignac number, because 42414015 - 22 = 42414011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42413982 and 42414000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4021 + ... + 10049.

It is an arithmetic number, because the mean of its divisors is an integer number (2460240).

Almost surely, 242414015 is an apocalyptic number.

42414015 is a deficient number, since it is larger than the sum of its proper divisors (36313665).

42414015 is a wasteful number, since it uses less digits than its factorization.

42414015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 42414015 is about 6512.6043177826. The cubic root of 42414015 is about 348.7410963670.

Adding to 42414015 its reverse (51041424), we get a palindrome (93455439).

It can be divided in two parts, 4241 and 4015, that added together give a triangular number (8256 = T128).

The spelling of 42414015 in words is "forty-two million, four hundred fourteen thousand, fifteen".

Divisors: 1 3 5 7 15 21 35 67 105 201 335 469 1005 1407 2345 6029 7035 18087 30145 42203 90435 126609 211015 403943 633045 1211829 2019715 2827601 6059145 8482803 14138005 42414015