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42167118 = 2371953997
BaseRepresentation
bin1010000011011…
…0101101001110
32221100022102010
42200312231032
541243321433
64103442050
71021262130
oct240665516
987308363
1042167118
1121890864
1212156326
138975076
145859050
153a7de63
hex2836b4e

42167118 has 64 divisors (see below), whose sum is σ = 103472640. Its totient is φ = 11187072.

The previous prime is 42167117. The next prime is 42167159. The reversal of 42167118 is 81176124.

42167118 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42167117) 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, 41796 + ... + 42792.

It is an arithmetic number, because the mean of its divisors is an integer number (1616760).

Almost surely, 242167118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42167118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51736320).

42167118 is an abundant number, since it is smaller than the sum of its proper divisors (61305522).

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

42167118 is a wasteful number, since it uses less digits than its factorization.

42167118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081.

The product of its digits is 2688, while the sum is 30.

The square root of 42167118 is about 6493.6213317378. The cubic root of 42167118 is about 348.0630913487.

The spelling of 42167118 in words is "forty-two million, one hundred sixty-seven thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 53 57 106 114 133 159 266 318 371 399 742 798 997 1007 1113 1994 2014 2226 2991 3021 5982 6042 6979 7049 13958 14098 18943 20937 21147 37886 41874 42294 52841 56829 105682 113658 132601 158523 265202 317046 369887 397803 739774 795606 1003979 1109661 2007958 2219322 3011937 6023874 7027853 14055706 21083559 42167118