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42811146 = 2337373061
BaseRepresentation
bin1010001101001…
…1111100001010
32222120000212000
42203103330022
541424424041
64125331430
71026613560
oct243237412
988500760
1042811146
1122190714
1212406b76
138b3c251
145985a30
153b59bb6
hex28d3f0a

42811146 has 64 divisors (see below), whose sum is σ = 111701760. Its totient is φ = 11897280.

The previous prime is 42811141. The next prime is 42811147. The reversal of 42811146 is 64111824.

It is a happy number.

42811146 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 (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42811141) 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, 12456 + ... + 15516.

It is an arithmetic number, because the mean of its divisors is an integer number (1745340).

Almost surely, 242811146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42811146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55850880).

42811146 is an abundant number, since it is smaller than the sum of its proper divisors (68890614).

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

42811146 is a wasteful number, since it uses less digits than its factorization.

42811146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3110 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 42811146 is about 6543.0226959716. The cubic root of 42811146 is about 349.8261612908.

The spelling of 42811146 in words is "forty-two million, eight hundred eleven thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 111 126 189 222 259 333 378 518 666 777 999 1554 1998 2331 3061 4662 6122 6993 9183 13986 18366 21427 27549 42854 55098 64281 82647 113257 128562 165294 192843 226514 339771 385686 578529 679542 792799 1019313 1157058 1585598 2038626 2378397 3057939 4756794 6115878 7135191 14270382 21405573 42811146