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42554655 = 325111317389
BaseRepresentation
bin1010001001010…
…1010100011111
32222002000000100
42202111110133
541343222110
64120032143
71024465023
oct242252437
988060010
1042554655
1122025a40
1212302653
138a7c590
14591a383
153b08bc0
hex289551f

42554655 has 96 divisors (see below), whose sum is σ = 91990080. Its totient is φ = 17879040.

The previous prime is 42554651. The next prime is 42554663. The reversal of 42554655 is 55645524.

42554655 = T2229 + T2230 + ... + T2245.

42554655 is a `hidden beast` number, since 42 + 554 + 65 + 5 = 666.

42554655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42554655 - 22 = 42554651 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42554651) 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 95 ways as a sum of consecutive naturals, for example, 109201 + ... + 109589.

It is an arithmetic number, because the mean of its divisors is an integer number (958230).

Almost surely, 242554655 is an apocalyptic number.

42554655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42554655 is an abundant number, since it is smaller than the sum of its proper divisors (49435425).

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

42554655 is a wasteful number, since it uses less digits than its factorization.

42554655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 438 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 42554655 is about 6523.3929055362. The cubic root of 42554655 is about 349.1261329019.

The spelling of 42554655 in words is "forty-two million, five hundred fifty-four thousand, six hundred fifty-five".

Divisors: 1 3 5 9 11 13 15 17 33 39 45 51 55 65 85 99 117 143 153 165 187 195 221 255 389 429 495 561 585 663 715 765 935 1105 1167 1287 1683 1945 1989 2145 2431 2805 3315 3501 4279 5057 5835 6435 6613 7293 8415 9945 12155 12837 15171 17505 19839 21395 21879 25285 33065 36465 38511 45513 55627 59517 64185 72743 75855 85969 99195 109395 166881 192555 218229 227565 257907 278135 297585 363715 429845 500643 654687 773721 834405 945659 1091145 1289535 2503215 2836977 3273435 3868605 4728295 8510931 14184885 42554655