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42423612 = 2237311937
BaseRepresentation
bin1010000111010…
…1010100111100
32221211100020220
42201311110330
541330023422
64113141340
71023411000
oct241652474
987740226
1042423612
1121a46540
121225a850
138a34a3a
1458c4700
153acee5c
hex287553c

42423612 has 96 divisors (see below), whose sum is σ = 126067200. Its totient is φ = 11007360.

The previous prime is 42423611. The next prime is 42423613. The reversal of 42423612 is 21632424.

42423612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42423611) and next prime (42423613).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423611) 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 31 ways as a sum of consecutive naturals, for example, 44808 + ... + 45744.

It is an arithmetic number, because the mean of its divisors is an integer number (1313200).

Almost surely, 242423612 is an apocalyptic number.

42423612 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42423612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63033600).

42423612 is an abundant number, since it is smaller than the sum of its proper divisors (83643588).

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

42423612 is a wasteful number, since it uses less digits than its factorization.

42423612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 42423612 is about 6513.3410781257. The cubic root of 42423612 is about 348.7673975468.

The spelling of 42423612 in words is "forty-two million, four hundred twenty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 937 1029 1078 1372 1617 1874 2058 2156 2811 3234 3748 3773 4116 5622 6468 6559 7546 10307 11244 11319 13118 15092 19677 20614 22638 26236 30921 39354 41228 45276 45913 61842 72149 78708 91826 123684 137739 144298 183652 216447 275478 288596 321391 432894 505043 550956 642782 865788 964173 1010086 1285564 1515129 1928346 2020172 3030258 3535301 3856692 6060516 7070602 10605903 14141204 21211806 42423612