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42685705 = 529329137
BaseRepresentation
bin1010001011010…
…1010100001001
32222022122210001
42202311110021
541411420310
64122523001
71025552056
oct242652411
988278701
1042685705
1122105447
1212366461
138ac711a
14595202d
153b3293a
hex28b5509

42685705 has 8 divisors (see below), whose sum is σ = 51399432. Its totient is φ = 34030848.

The previous prime is 42685703. The next prime is 42685711. The reversal of 42685705 is 50758624.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24049216 + 18636489 = 4904^2 + 4317^2 .

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 42685705 - 21 = 42685703 is a prime.

It is a super-3 number, since 3×426857053 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42685703) 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, 13104 + ... + 16033.

It is an arithmetic number, because the mean of its divisors is an integer number (6424929).

Almost surely, 242685705 is an apocalyptic number.

It is an amenable number.

42685705 is a deficient number, since it is larger than the sum of its proper divisors (8713727).

42685705 is a wasteful number, since it uses less digits than its factorization.

42685705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29435.

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 42685705 is about 6533.4298037095. The cubic root of 42685705 is about 349.4841516538.

The spelling of 42685705 in words is "forty-two million, six hundred eighty-five thousand, seven hundred five".

Divisors: 1 5 293 1465 29137 145685 8537141 42685705