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42024123 = 331556449
BaseRepresentation
bin1010000001001…
…1110010111011
32221002001021000
42200103302323
541224232443
64100420043
71020125211
oct240236273
987061230
1042024123
11217a3389
12120a7623
138924c5b
14581ccb1
153a518d3
hex2813cbb

42024123 has 8 divisors (see below), whose sum is σ = 62258000. Its totient is φ = 28016064.

The previous prime is 42024121. The next prime is 42024133. The reversal of 42024123 is 32142024.

42024123 is a `hidden beast` number, since 420 + 241 + 2 + 3 = 666.

42024123 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 42024123 - 21 = 42024121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42024096 and 42024105.

It is not an unprimeable number, because it can be changed into a prime (42024121) 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 7 ways as a sum of consecutive naturals, for example, 778198 + ... + 778251.

It is an arithmetic number, because the mean of its divisors is an integer number (7782250).

Almost surely, 242024123 is an apocalyptic number.

42024123 is a deficient number, since it is larger than the sum of its proper divisors (20233877).

42024123 is a wasteful number, since it uses less digits than its factorization.

42024123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556458 (or 1556452 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42024123 is about 6482.6015611018. The cubic root of 42024123 is about 347.6692011094.

Adding to 42024123 its reverse (32142024), we get a palindrome (74166147).

The spelling of 42024123 in words is "forty-two million, twenty-four thousand, one hundred twenty-three".

Divisors: 1 3 9 27 1556449 4669347 14008041 42024123