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42041140 = 2252102057
BaseRepresentation
bin1010000001011…
…1111100110100
32221002220121021
42200113330310
541230304030
64101030524
71020225631
oct240277464
987086537
1042041140
1121805149
12120b5444
13892c91b
145825188
153a5697a
hex2817f34

42041140 has 12 divisors (see below), whose sum is σ = 88286436. Its totient is φ = 16816448.

The previous prime is 42041107. The next prime is 42041141. The reversal of 42041140 is 4114024.

42041140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 18011536 + 24029604 = 4244^2 + 4902^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42041141) 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 3 ways as a sum of consecutive naturals, for example, 1051009 + ... + 1051048.

It is an arithmetic number, because the mean of its divisors is an integer number (7357203).

Almost surely, 242041140 is an apocalyptic number.

It is an amenable number.

42041140 is an abundant number, since it is smaller than the sum of its proper divisors (46245296).

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

42041140 is a wasteful number, since it uses less digits than its factorization.

42041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102066 (or 2102064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 42041140 is about 6483.9139414400. The cubic root of 42041140 is about 347.7161224805.

Adding to 42041140 its reverse (4114024), we get a palindrome (46155164).

The spelling of 42041140 in words is "forty-two million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 2102057 4204114 8408228 10510285 21020570 42041140