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42627141 = 34641821
BaseRepresentation
bin1010001010011…
…1000001000101
32222012200110000
42202213001011
541403032031
64121351513
71025216244
oct242470105
988180400
1042627141
1122075447
1212338599
138aa657b
14593895b
153b203e6
hex28a7045

42627141 has 20 divisors (see below), whose sum is σ = 63854604. Its totient is φ = 28339200.

The previous prime is 42627133. The next prime is 42627181. The reversal of 42627141 is 14172624.

It can be written as a sum of positive squares in 2 ways, for example, as 26224641 + 16402500 = 5121^2 + 4050^2 .

It is not a de Polignac number, because 42627141 - 23 = 42627133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42627131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51511 + ... + 52331.

Almost surely, 242627141 is an apocalyptic number.

It is an amenable number.

42627141 is a deficient number, since it is larger than the sum of its proper divisors (21227463).

42627141 is an equidigital number, since it uses as much as digits as its factorization.

42627141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1465 counting only the distinct ones).

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

The square root of 42627141 is about 6528.9463927957. The cubic root of 42627141 is about 349.3242499006.

Adding to 42627141 its reverse (14172624), we get a palindrome (56799765).

The spelling of 42627141 in words is "forty-two million, six hundred twenty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 641 821 1923 2463 5769 7389 17307 22167 51921 66501 526261 1578783 4736349 14209047 42627141