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42886008 = 233211173313
BaseRepresentation
bin1010001110011…
…0001101111000
32222200211112200
42203212031320
541434323013
64131110200
71030345044
oct243461570
988624480
1042886008
1122231990
1212442360
138b67349
1459a5024
153b71e73
hex28e6378

42886008 has 96 divisors (see below), whose sum is σ = 127848240. Its totient is φ = 12879360.

The previous prime is 42886003. The next prime is 42886013. The reversal of 42886008 is 80068824.

42886008 is a `hidden beast` number, since 42 + 8 + 8 + 600 + 8 = 666.

42886008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42886003) and next prime (42886013).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42886001) 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 23 ways as a sum of consecutive naturals, for example, 136860 + ... + 137172.

Almost surely, 242886008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42886008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63924120).

42886008 is an abundant number, since it is smaller than the sum of its proper divisors (84962232).

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

42886008 is a wasteful number, since it uses less digits than its factorization.

42886008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 42886008 is about 6548.7409476937. The cubic root of 42886008 is about 350.0299511784.

It can be divided in two parts, 4288 and 6008, that added together give a triangular number (10296 = T143).

The spelling of 42886008 in words is "forty-two million, eight hundred eighty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 173 198 264 313 346 396 519 626 692 792 939 1038 1252 1384 1557 1878 1903 2076 2504 2817 3114 3443 3756 3806 4152 5634 5709 6228 6886 7512 7612 10329 11268 11418 12456 13772 15224 17127 20658 22536 22836 27544 30987 34254 41316 45672 54149 61974 68508 82632 108298 123948 137016 162447 216596 247896 324894 433192 487341 595639 649788 974682 1191278 1299576 1786917 1949364 2382556 3573834 3898728 4765112 5360751 7147668 10721502 14295336 21443004 42886008