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42084207 = 32113711489
BaseRepresentation
bin1010000010001…
…0011101101111
32221012002200100
42200202131233
541233143312
64102002143
71020465324
oct240423557
987162610
1042084207
1121834540
1212116353
1389463c9
145836b4b
153a645dc
hex282276f

42084207 has 24 divisors (see below), whose sum is σ = 68112720. Its totient is φ = 24814080.

The previous prime is 42084193. The next prime is 42084233. The reversal of 42084207 is 70248024.

42084207 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42084207 - 27 = 42084079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42084247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2082 + ... + 9407.

It is an arithmetic number, because the mean of its divisors is an integer number (2838030).

Almost surely, 242084207 is an apocalyptic number.

42084207 is a deficient number, since it is larger than the sum of its proper divisors (26028513).

42084207 is a wasteful number, since it uses less digits than its factorization.

42084207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11543 (or 11540 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42084207 is about 6487.2341564029. The cubic root of 42084207 is about 347.8348155801.

The spelling of 42084207 in words is "forty-two million, eighty-four thousand, two hundred seven".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 11489 34467 103401 126379 379137 425093 1137411 1275279 3825837 4676023 14028069 42084207