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42077167 = 114678191
BaseRepresentation
bin1010000010000…
…0101111101111
32221011202000121
42200200233233
541232432132
64101505411
71020435646
oct240405757
987152017
1042077167
112182a220
1212112267
138943142
14583435d
153a62497
hex2820bef

42077167 has 8 divisors (see below), whose sum is σ = 46006272. Its totient is φ = 38165400.

The previous prime is 42077141. The next prime is 42077171. The reversal of 42077167 is 76177024.

42077167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 42077167 - 215 = 42044399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42077117) 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 7 ways as a sum of consecutive naturals, for example, 1042 + ... + 9232.

It is an arithmetic number, because the mean of its divisors is an integer number (5750784).

Almost surely, 242077167 is an apocalyptic number.

42077167 is a deficient number, since it is larger than the sum of its proper divisors (3929105).

42077167 is a wasteful number, since it uses less digits than its factorization.

42077167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669.

The product of its (nonzero) digits is 16464, while the sum is 34.

The square root of 42077167 is about 6486.6915295858. The cubic root of 42077167 is about 347.8154188053.

The spelling of 42077167 in words is "forty-two million, seventy-seven thousand, one hundred sixty-seven".

Divisors: 1 11 467 5137 8191 90101 3825197 42077167