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42378903 = 337239749
BaseRepresentation
bin1010000110101…
…0011010010111
32221202001221000
42201222122113
541322111103
64112154343
71023133440
oct241523227
987661830
1042378903
1121a15996
12122389b3
138a1a598
1458b22c7
153ac1aa3
hex286a697

42378903 has 32 divisors (see below), whose sum is σ = 74880000. Its totient is φ = 23161248.

The previous prime is 42378899. The next prime is 42378929. The reversal of 42378903 is 30987324.

42378903 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 42378903 - 22 = 42378899 is a prime.

It is a super-3 number, since 3×423789033 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42378983) 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 31 ways as a sum of consecutive naturals, for example, 528 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (2340000).

Almost surely, 242378903 is an apocalyptic number.

42378903 is a deficient number, since it is larger than the sum of its proper divisors (32501097).

42378903 is a wasteful number, since it uses less digits than its factorization.

42378903 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42378903 is about 6509.9080638670. The cubic root of 42378903 is about 348.6448359062.

The spelling of 42378903 in words is "forty-two million, three hundred seventy-eight thousand, nine hundred three".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 9749 29247 68243 87741 204729 224227 263223 614187 672681 1569589 1842561 2018043 4708767 6054129 14126301 42378903