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42189461 = 172985577
BaseRepresentation
bin1010000011110…
…0001010010101
32221101110001122
42200330022111
541300030321
64104133325
71021414226
oct240741225
987343048
1042189461
11218a6626
1212167245
1389822a2
14586324d
153a858ab
hex283c295

42189461 has 8 divisors (see below), whose sum is σ = 46212120. Its totient is φ = 38338048.

The previous prime is 42189457. The next prime is 42189463. The reversal of 42189461 is 16498124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8375236 + 33814225 = 2894^2 + 5815^2 .

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 42189461 - 22 = 42189457 is a prime.

It is a Curzon number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42189463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42296 + ... + 43281.

It is an arithmetic number, because the mean of its divisors is an integer number (5776515).

Almost surely, 242189461 is an apocalyptic number.

It is an amenable number.

42189461 is a deficient number, since it is larger than the sum of its proper divisors (4022659).

42189461 is a wasteful number, since it uses less digits than its factorization.

42189461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85623.

The product of its digits is 13824, while the sum is 35.

The square root of 42189461 is about 6495.3414844795. The cubic root of 42189461 is about 348.1245563074.

The spelling of 42189461 in words is "forty-two million, one hundred eighty-nine thousand, four hundred sixty-one".

Divisors: 1 17 29 493 85577 1454809 2481733 42189461