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42355566 = 23211219447
BaseRepresentation
bin1010000110010…
…0101101101110
32221200212220200
42201210231232
541320334231
64111454330
71023005421
oct241445556
987625820
1042355566
11219aa400
12122273a6
138a0ca86
1458a79b8
153ab9be6
hex2864b6e

42355566 has 36 divisors (see below), whose sum is σ = 100876776. Its totient is φ = 12834360.

The previous prime is 42355561. The next prime is 42355589. The reversal of 42355566 is 66555324.

It is a happy number.

42355566 is a `hidden beast` number, since 42 + 3 + 55 + 566 = 666.

42355566 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 42355566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42355561) 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 17 ways as a sum of consecutive naturals, for example, 7546 + ... + 11901.

Almost surely, 242355566 is an apocalyptic number.

42355566 is an abundant number, since it is smaller than the sum of its proper divisors (58521210).

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

42355566 is a wasteful number, since it uses less digits than its factorization.

42355566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19477 (or 19463 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 42355566 is about 6508.1153954121. The cubic root of 42355566 is about 348.5808274970.

It can be divided in two parts, 4235 and 5566, that added together give a square (9801 = 992).

The spelling of 42355566 in words is "forty-two million, three hundred fifty-five thousand, five hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 19447 38894 58341 116682 175023 213917 350046 427834 641751 1283502 1925253 2353087 3850506 4706174 7059261 14118522 21177783 42355566