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42426112 = 281031609
BaseRepresentation
bin1010000111010…
…1111100000000
32221211110200111
42201311330000
541330113422
64113201104
71023421201
oct241657400
987743614
1042426112
1121a48403
1212260194
138a35c11
1458c55a8
153ad0a77
hex2875f00

42426112 has 36 divisors (see below), whose sum is σ = 85561840. Its totient is φ = 20994048.

The previous prime is 42426091. The next prime is 42426119. The reversal of 42426112 is 21162424.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42426119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25564 + ... + 27172.

Almost surely, 242426112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42780920).

42426112 is an abundant number, since it is smaller than the sum of its proper divisors (43135728).

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

42426112 is a wasteful number, since it uses less digits than its factorization.

42426112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1714 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 42426112 is about 6513.5329890928. The cubic root of 42426112 is about 348.7742483022.

Adding to 42426112 its reverse (21162424), we get a palindrome (63588536).

The spelling of 42426112 in words is "forty-two million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 824 1609 1648 3218 3296 6436 6592 12872 13184 25744 26368 51488 102976 165727 205952 331454 411904 662908 1325816 2651632 5303264 10606528 21213056 42426112