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42066486 = 23371167151
BaseRepresentation
bin1010000001111…
…0001000110110
32221011012101000
42200132020312
541232111421
64101344130
71020362550
oct240361066
987135330
1042066486
11218221a0
1212108046
13893b317
1458304d0
153a5e226
hex281e236

42066486 has 128 divisors (see below), whose sum is σ = 119070720. Its totient is φ = 10692000.

The previous prime is 42066481. The next prime is 42066491. The reversal of 42066486 is 68466024.

It is a happy number.

42066486 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 648 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42066481) and next prime (42066491).

It is a self number, because there is not a number n which added to its sum of digits gives 42066486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42066481) 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 63 ways as a sum of consecutive naturals, for example, 278511 + ... + 278661.

It is an arithmetic number, because the mean of its divisors is an integer number (930240).

Almost surely, 242066486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42066486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535360).

42066486 is an abundant number, since it is smaller than the sum of its proper divisors (77004234).

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

42066486 is a wasteful number, since it uses less digits than its factorization.

42066486 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 42066486 is about 6485.8681762737. The cubic root of 42066486 is about 347.7859861292.

The spelling of 42066486 in words is "forty-two million, sixty-six thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 67 77 99 126 134 151 154 189 198 201 231 297 302 378 402 453 462 469 594 603 693 737 906 938 1057 1206 1359 1386 1407 1474 1661 1809 2079 2114 2211 2718 2814 3171 3322 3618 4077 4158 4221 4422 4983 5159 6342 6633 8154 8442 9513 9966 10117 10318 11627 12663 13266 14949 15477 19026 19899 20234 23254 25326 28539 29898 30351 30954 34881 39798 44847 46431 57078 60702 69762 70819 89694 91053 92862 104643 111287 139293 141638 182106 209286 212457 222574 273159 278586 313929 333861 424914 546318 627858 637371 667722 779009 1001583 1274742 1558018 1912113 2003166 2337027 3004749 3824226 4674054 6009498 7011081 14022162 21033243 42066486