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42117661 = 1910720717
BaseRepresentation
bin1010000010101…
…0101000011101
32221020210120101
42200222220131
541240231121
64102421101
71020665005
oct240525035
987223511
1042117661
1121857693
1212131791
1389586c1
145845005
153a6e491
hex282aa1d

42117661 has 8 divisors (see below), whose sum is σ = 44750880. Its totient is φ = 39526128.

The previous prime is 42117659. The next prime is 42117667. The reversal of 42117661 is 16671124.

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 42117661 - 21 = 42117659 is a prime.

It is a super-2 number, since 2×421176612 = 3547794736221842, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42117667) 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, 8326 + ... + 12391.

It is an arithmetic number, because the mean of its divisors is an integer number (5593860).

Almost surely, 242117661 is an apocalyptic number.

It is an amenable number.

42117661 is a deficient number, since it is larger than the sum of its proper divisors (2633219).

42117661 is a wasteful number, since it uses less digits than its factorization.

42117661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20843.

The product of its digits is 2016, while the sum is 28.

The square root of 42117661 is about 6489.8120928113. The cubic root of 42117661 is about 347.9269592821.

Adding to 42117661 its reverse (16671124), we get a palindrome (58788785).

It can be divided in two parts, 42117 and 661, that added together give a triangular number (42778 = T292).

The spelling of 42117661 in words is "forty-two million, one hundred seventeen thousand, six hundred sixty-one".

Divisors: 1 19 107 2033 20717 393623 2216719 42117661