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42523866 = 2347211487
BaseRepresentation
bin1010001000110…
…1110011011010
32222000102210000
42202031303122
541341230431
64115233430
71024306200
oct242156332
988012700
1042523866
11220048a0
12122a8876
138a6b568
14590d070
153aee9e6
hex288dcda

42523866 has 120 divisors (see below), whose sum is σ = 121166496. Its totient is φ = 11022480.

The previous prime is 42523823. The next prime is 42523879. The reversal of 42523866 is 66832524.

42523866 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42523866.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 87075 + ... + 87561.

Almost surely, 242523866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42523866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60583248).

42523866 is an abundant number, since it is smaller than the sum of its proper divisors (78642630).

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

42523866 is a wasteful number, since it uses less digits than its factorization.

42523866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42523866 is about 6521.0325869451. The cubic root of 42523866 is about 349.0419130676.

It can be divided in two parts, 4252 and 3866, that added together give a palindrome (8118).

The spelling of 42523866 in words is "forty-two million, five hundred twenty-three thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 378 441 462 487 539 567 594 693 882 891 974 1078 1134 1323 1386 1461 1617 1782 2079 2646 2922 3234 3409 3969 4158 4383 4851 5357 6237 6818 7938 8766 9702 10227 10714 12474 13149 14553 16071 20454 23863 26298 29106 30681 32142 37499 39447 43659 47726 48213 61362 71589 74998 78894 87318 92043 96426 112497 143178 144639 184086 214767 224994 262493 276129 289278 337491 429534 433917 524986 552258 644301 674982 787479 867834 1012473 1288602 1574958 1932903 2024946 2362437 3037419 3865806 4724874 6074838 7087311 14174622 21261933 42523866