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42027409 = 291738377
BaseRepresentation
bin1010000001010…
…0100110010001
32221002012202201
42200110212101
541224334114
64100443201
71020140614
oct240244621
987065681
1042027409
11217a58a6
12120a9501
1389265b8
14582017b
153a52874
hex2814991

42027409 has 8 divisors (see below), whose sum is σ = 43733160. Its totient is φ = 40338816.

The previous prime is 42027397. The next prime is 42027421. The reversal of 42027409 is 90472024.

It is an interprime number because it is at equal distance from previous prime (42027397) and next prime (42027421).

It can be written as a sum of positive squares in 4 ways, for example, as 7840000 + 34187409 = 2800^2 + 5847^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42027409 - 213 = 42019217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42027709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829 + ... + 9205.

It is an arithmetic number, because the mean of its divisors is an integer number (5466645).

Almost surely, 242027409 is an apocalyptic number.

It is an amenable number.

42027409 is a deficient number, since it is larger than the sum of its proper divisors (1705751).

42027409 is a wasteful number, since it uses less digits than its factorization.

42027409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42027409 is about 6482.8550037773. The cubic root of 42027409 is about 347.6782626606.

It can be divided in two parts, 42027 and 409, that added together give a square (42436 = 2062).

The spelling of 42027409 in words is "forty-two million, twenty-seven thousand, four hundred nine".

Divisors: 1 29 173 5017 8377 242933 1449221 42027409