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42123618 = 2332113697
BaseRepresentation
bin1010000010110…
…0000101100010
32221021002202000
42200230011202
541240423433
64102504430
71021021245
oct240540542
987232660
1042123618
1121861109
1212135116
13895b324
14584725c
153a71113
hex282c162

42123618 has 32 divisors (see below), whose sum is σ = 94077120. Its totient is φ = 13970880.

The previous prime is 42123593. The next prime is 42123619. The reversal of 42123618 is 81632124.

42123618 is a `hidden beast` number, since 4 + 21 + 23 + 618 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42123591 and 42123600.

It is not an unprimeable number, because it can be changed into a prime (42123619) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9546 + ... + 13242.

It is an arithmetic number, because the mean of its divisors is an integer number (2939910).

Almost surely, 242123618 is an apocalyptic number.

42123618 is an abundant number, since it is smaller than the sum of its proper divisors (51953502).

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

42123618 is a wasteful number, since it uses less digits than its factorization.

42123618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3913 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42123618 is about 6490.2710266983. The cubic root of 42123618 is about 347.9433617693.

The spelling of 42123618 in words is "forty-two million, one hundred twenty-three thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 211 422 633 1266 1899 3697 3798 5697 7394 11091 11394 22182 33273 66546 99819 199638 780067 1560134 2340201 4680402 7020603 14041206 21061809 42123618