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42085829 = 1713671811
BaseRepresentation
bin1010000010001…
…0110111000101
32221012011220102
42200202313011
541233221304
64102013445
71020503132
oct240426705
987164812
1042085829
1121835785
1212117285
138947076
145837589
153a64d1e
hex2822dc5

42085829 has 8 divisors (see below), whose sum is σ = 44618688. Its totient is φ = 39559360.

The previous prime is 42085819. The next prime is 42085831. The reversal of 42085829 is 92858024.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42085829 is a prime.

It is a super-3 number, since 3×420858293 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42085792 and 42085801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085819) 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, 22334 + ... + 24144.

It is an arithmetic number, because the mean of its divisors is an integer number (5577336).

Almost surely, 242085829 is an apocalyptic number.

It is an amenable number.

42085829 is a deficient number, since it is larger than the sum of its proper divisors (2532859).

42085829 is a wasteful number, since it uses less digits than its factorization.

42085829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3195.

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 42085829 is about 6487.3591699551. The cubic root of 42085829 is about 347.8392842463.

The spelling of 42085829 in words is "forty-two million, eighty-five thousand, eight hundred twenty-nine".

Divisors: 1 17 1367 1811 23239 30787 2475637 42085829