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42506706 = 23114771193
BaseRepresentation
bin1010001000100…
…1100111010010
32221222120020110
42202021213102
541340203311
64115022150
71024205154
oct242114722
987876213
1042506706
1121aa2a10
121229a956
138a637c8
145906ad4
153ae98a6
hex28899d2

42506706 has 64 divisors (see below), whose sum is σ = 96546816. Its totient is φ = 12364800.

The previous prime is 42506701. The next prime is 42506719. The reversal of 42506706 is 60760524.

It is not an unprimeable number, because it can be changed into a prime (42506701) 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 31 ways as a sum of consecutive naturals, for example, 220146 + ... + 220338.

It is an arithmetic number, because the mean of its divisors is an integer number (1508544).

Almost surely, 242506706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42506706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48273408).

42506706 is an abundant number, since it is smaller than the sum of its proper divisors (54040110).

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

42506706 is a wasteful number, since it uses less digits than its factorization.

42506706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 42506706 is about 6519.7167116371. The cubic root of 42506706 is about 348.9949561809.

The spelling of 42506706 in words is "forty-two million, five hundred six thousand, seven hundred six".

Divisors: 1 2 3 6 11 22 33 47 66 71 94 141 142 193 213 282 386 426 517 579 781 1034 1158 1551 1562 2123 2343 3102 3337 4246 4686 6369 6674 9071 10011 12738 13703 18142 20022 27213 27406 36707 41109 54426 73414 82218 99781 110121 150733 199562 220242 299343 301466 452199 598686 644041 904398 1288082 1932123 3864246 7084451 14168902 21253353 42506706