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42835122 = 23311371949
BaseRepresentation
bin1010001101100…
…1110010110010
32222121020202000
42203121302302
541431210442
64130034430
71030043511
oct243316262
988536660
1042835122
11221a7730
1212418a16
138b4a135
145990678
153b61d4c
hex28d9cb2

42835122 has 64 divisors (see below), whose sum is σ = 106704000. Its totient is φ = 12623040.

The previous prime is 42835061. The next prime is 42835123. The reversal of 42835122 is 22153824.

42835122 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 not an unprimeable number, because it can be changed into a prime (42835123) 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, 21004 + ... + 22952.

It is an arithmetic number, because the mean of its divisors is an integer number (1667250).

Almost surely, 242835122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42835122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352000).

42835122 is an abundant number, since it is smaller than the sum of its proper divisors (63868878).

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

42835122 is a wasteful number, since it uses less digits than its factorization.

42835122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 2002 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 42835122 is about 6544.8546202341. The cubic root of 42835122 is about 349.8914547758.

Adding to 42835122 its reverse (22153824), we get a palindrome (64988946).

The spelling of 42835122 in words is "forty-two million, eight hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 99 111 198 222 297 333 407 594 666 814 999 1221 1949 1998 2442 3663 3898 5847 7326 10989 11694 17541 21439 21978 35082 42878 52623 64317 72113 105246 128634 144226 192951 216339 385902 432678 578853 649017 793243 1157706 1298034 1586486 1947051 2379729 3894102 4759458 7139187 14278374 21417561 42835122