Search a number
-
+
42444315 = 3252321783
BaseRepresentation
bin1010000111101…
…0011000011011
32221212101122200
42201322120123
541331204230
64113421243
71023525234
oct241723033
987771580
1042444315
1121a60051
121226a823
138a412a4
1458cc08b
153ad6160
hex287a61b

42444315 has 36 divisors (see below), whose sum is σ = 76951056. Its totient is φ = 21640608.

The previous prime is 42444293. The next prime is 42444323. The reversal of 42444315 is 51344424.

It is a happy number.

42444315 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 42444315 - 215 = 42411547 is a prime.

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 35 ways as a sum of consecutive naturals, for example, 22914 + ... + 24696.

Almost surely, 242444315 is an apocalyptic number.

42444315 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42444315 is a deficient number, since it is larger than the sum of its proper divisors (34506741).

42444315 is a wasteful number, since it uses less digits than its factorization.

42444315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1814 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 42444315 is about 6514.9301607922. The cubic root of 42444315 is about 348.8241219106.

Adding to 42444315 its reverse (51344424), we get a palindrome (93788739).

The spelling of 42444315 in words is "forty-two million, four hundred forty-four thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 529 1035 1587 1783 2645 4761 5349 7935 8915 16047 23805 26745 41009 80235 123027 205045 369081 615135 943207 1845405 2829621 4716035 8488863 14148105 42444315