Search a number
-
+
42414317 = 1197127313
BaseRepresentation
bin1010000111001…
…1000011101101
32221210212111122
42201303003231
541324224232
64113030325
71023341621
oct241630355
987725448
1042414317
1121a3a560
12122553a5
138a3073a
1458c1181
153acc312
hex28730ed

42414317 has 16 divisors (see below), whose sum is σ = 47265792. Its totient is φ = 37739520.

The previous prime is 42414311. The next prime is 42414331. The reversal of 42414317 is 71341424.

42414317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42414317 - 24 = 42414301 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42414311) 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 15 ways as a sum of consecutive naturals, for example, 135353 + ... + 135665.

It is an arithmetic number, because the mean of its divisors is an integer number (2954112).

Almost surely, 242414317 is an apocalyptic number.

It is an amenable number.

42414317 is a deficient number, since it is larger than the sum of its proper divisors (4851475).

42414317 is a wasteful number, since it uses less digits than its factorization.

42414317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548.

The product of its digits is 2688, while the sum is 26.

The square root of 42414317 is about 6512.6275035503. The cubic root of 42414317 is about 348.7419240774.

It can be divided in two parts, 4241 and 4317, that added together give a palindrome (8558).

The spelling of 42414317 in words is "forty-two million, four hundred fourteen thousand, three hundred seventeen".

Divisors: 1 11 97 127 313 1067 1397 3443 12319 30361 39751 135509 333971 437261 3855847 42414317