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42416444 = 2272952237
BaseRepresentation
bin1010000111001…
…1100100111100
32221210222102102
42201303210330
541324311234
64113044232
71023351050
oct241634474
987728372
1042416444
1121a41114
1212256678
138a316b5
1458c1c60
153accc7e
hex287393c

42416444 has 24 divisors (see below), whose sum is σ = 87759840. Its totient is φ = 17551296.

The previous prime is 42416389. The next prime is 42416449. The reversal of 42416444 is 44461424.

42416444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42416449) 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 7 ways as a sum of consecutive naturals, for example, 25307 + ... + 26930.

It is an arithmetic number, because the mean of its divisors is an integer number (3656660).

Almost surely, 242416444 is an apocalyptic number.

It is an amenable number.

42416444 is an abundant number, since it is smaller than the sum of its proper divisors (45343396).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42416444 is a wasteful number, since it uses less digits than its factorization.

42416444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52277 (or 52275 counting only the distinct ones).

The product of its digits is 12288, while the sum is 29.

The square root of 42416444 is about 6512.7907996496. The cubic root of 42416444 is about 348.7477535687.

Adding to 42416444 its reverse (44461424), we get a palindrome (86877868).

The spelling of 42416444 in words is "forty-two million, four hundred sixteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 52237 104474 208948 365659 731318 1462636 1514873 3029746 6059492 10604111 21208222 42416444