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42006681 = 35172867
BaseRepresentation
bin1010000000111…
…1100010011001
32221001011100000
42200033202121
541223203211
64100203213
71020023313
oct240174231
987034300
1042006681
1121791272
1212099509
13891a032
1458167b3
153a4b656
hex280f899

42006681 has 12 divisors (see below), whose sum is σ = 62923952. Its totient is φ = 28004292.

The previous prime is 42006659. The next prime is 42006683. The reversal of 42006681 is 18660024.

It is not a de Polignac number, because 42006681 - 26 = 42006617 is a prime.

It is a super-2 number, since 2×420066812 = 3529122497271522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42006683) 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 11 ways as a sum of consecutive naturals, for example, 86191 + ... + 86676.

Almost surely, 242006681 is an apocalyptic number.

It is an amenable number.

42006681 is a deficient number, since it is larger than the sum of its proper divisors (20917271).

42006681 is an equidigital number, since it uses as much as digits as its factorization.

42006681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172882 (or 172870 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 42006681 is about 6481.2561282517. The cubic root of 42006681 is about 347.6210947289.

The spelling of 42006681 in words is "forty-two million, six thousand, six hundred eighty-one".

Divisors: 1 3 9 27 81 243 172867 518601 1555803 4667409 14002227 42006681