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42120871 = 131072283
BaseRepresentation
bin1010000010101…
…1011010100111
32221020221222021
42200223122213
541240331441
64102444011
71021010242
oct240533247
987227867
1042120871
112185a041
1212133607
138959cc0
145846259
153a703d1
hex282b6a7

42120871 has 12 divisors (see below), whose sum is σ = 45950632. Its totient is φ = 38381328.

The previous prime is 42120857. The next prime is 42120877. The reversal of 42120871 is 17802124.

It is a happy number.

42120871 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 42120871 - 25 = 42120839 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120877) 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 11 ways as a sum of consecutive naturals, for example, 148696 + ... + 148978.

Almost surely, 242120871 is an apocalyptic number.

42120871 is a deficient number, since it is larger than the sum of its proper divisors (3829761).

42120871 is a wasteful number, since it uses less digits than its factorization.

42120871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 42120871 is about 6490.0593988037. The cubic root of 42120871 is about 347.9357981488.

Adding to 42120871 its reverse (17802124), we get a palindrome (59922995).

The spelling of 42120871 in words is "forty-two million, one hundred twenty thousand, eight hundred seventy-one".

Divisors: 1 13 107 283 1391 3679 11449 30281 148837 393653 3240067 42120871