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42726141 = 3241891301
BaseRepresentation
bin1010001011111…
…1001011111101
32222101201020200
42202333023331
541414214031
64123434113
71026111003
oct242771375
988351220
1042726141
1122132867
1212385939
138b0c653
145962a73
153b3e8e6
hex28bf2fd

42726141 has 24 divisors (see below), whose sum is σ = 63980280. Its totient is φ = 27456000.

The previous prime is 42726119. The next prime is 42726163. The reversal of 42726141 is 14162724.

42726141 is a `hidden beast` number, since 42 + 7 + 2 + 614 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (42726119) and next prime (42726163).

It can be written as a sum of positive squares in 4 ways, for example, as 7371225 + 35354916 = 2715^2 + 5946^2 .

It is not a de Polignac number, because 42726141 - 29 = 42725629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42726181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32191 + ... + 33491.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 242726141 is an apocalyptic number.

42726141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42726141 is a deficient number, since it is larger than the sum of its proper divisors (21254139).

42726141 is a wasteful number, since it uses less digits than its factorization.

42726141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1434 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42726141 is about 6536.5236173367. The cubic root of 42726141 is about 349.5944718120.

Adding to 42726141 its reverse (14162724), we get a palindrome (56888865).

The spelling of 42726141 in words is "forty-two million, seven hundred twenty-six thousand, one hundred forty-one".

Divisors: 1 3 9 41 89 123 267 369 801 1301 3649 3903 10947 11709 32841 53341 115789 160023 347367 480069 1042101 4747349 14242047 42726141