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42444405 = 345104801
BaseRepresentation
bin1010000111101…
…0011001110101
32221212101210000
42201322121311
541331210110
64113421513
71023525423
oct241723165
987771700
1042444405
1121a60123
121226a899
138a41343
1458cc113
153ad61c0
hex287a675

42444405 has 20 divisors (see below), whose sum is σ = 76086252. Its totient is φ = 22636800.

The previous prime is 42444403. The next prime is 42444421. The reversal of 42444405 is 50444424.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28291761 + 14152644 = 5319^2 + 3762^2 .

It is not a de Polignac number, because 42444405 - 21 = 42444403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42444403) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51996 + ... + 52805.

Almost surely, 242444405 is an apocalyptic number.

42444405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42444405 is a deficient number, since it is larger than the sum of its proper divisors (33641847).

42444405 is a wasteful number, since it uses less digits than its factorization.

42444405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104818 (or 104809 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 42444405 is about 6514.9370680000. The cubic root of 42444405 is about 348.8243684622.

Adding to 42444405 its reverse (50444424), we get a palindrome (92888829).

It can be divided in two parts, 42444 and 405, that added together give a square (42849 = 2072).

The spelling of 42444405 in words is "forty-two million, four hundred forty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 104801 314403 524005 943209 1572015 2829627 4716045 8488881 14148135 42444405