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42057138 = 2310096947
BaseRepresentation
bin1010000001101…
…1110110110010
32221010201112210
42200123312302
541231312023
64101232550
71020323364
oct240336662
987121483
1042057138
1121816172
1212102756
138936ca6
14582ad34
153a5b593
hex281bdb2

42057138 has 16 divisors (see below), whose sum is σ = 84209760. Its totient is φ = 14003136.

The previous prime is 42057137. The next prime is 42057149. The reversal of 42057138 is 83175024.

42057138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42057137) 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, 2581 + ... + 9527.

It is an arithmetic number, because the mean of its divisors is an integer number (5263110).

Almost surely, 242057138 is an apocalyptic number.

42057138 is an abundant number, since it is smaller than the sum of its proper divisors (42152622).

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

42057138 is a wasteful number, since it uses less digits than its factorization.

42057138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 42057138 is about 6485.1474925402. The cubic root of 42057138 is about 347.7602225935.

It can be divided in two parts, 42057 and 138, that added together give a triangular number (42195 = T290).

The spelling of 42057138 in words is "forty-two million, fifty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 1009 2018 3027 6054 6947 13894 20841 41682 7009523 14019046 21028569 42057138