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42004123 = 73151811
BaseRepresentation
bin1010000000111…
…0111010011011
32221001000211021
42200032322123
541223112443
64100143311
71020013000
oct240167233
987030737
1042004123
112178a357
1212097b37
138918b15
1458158a7
153a4a9ed
hex280ee9b

42004123 has 16 divisors (see below), whose sum is σ = 49369600. Its totient is φ = 35721000.

The previous prime is 42004111. The next prime is 42004129. The reversal of 42004123 is 32140024.

42004123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-42004123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42004097 and 42004106.

It is not an unprimeable number, because it can be changed into a prime (42004129) 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 15 ways as a sum of consecutive naturals, for example, 51388 + ... + 52198.

It is an arithmetic number, because the mean of its divisors is an integer number (3085600).

Almost surely, 242004123 is an apocalyptic number.

42004123 is a deficient number, since it is larger than the sum of its proper divisors (7365477).

42004123 is an equidigital number, since it uses as much as digits as its factorization.

42004123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42004123 is about 6481.0587869576. The cubic root of 42004123 is about 347.6140384481.

Adding to 42004123 its reverse (32140024), we get a palindrome (74144147).

The spelling of 42004123 in words is "forty-two million, four thousand, one hundred twenty-three".

Divisors: 1 7 49 151 343 811 1057 5677 7399 39739 51793 122461 278173 857227 6000589 42004123