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42768167 = 134769997
BaseRepresentation
bin1010001100100…
…1011100100111
32222110211220012
42203021130213
541422040132
64124400435
71026344351
oct243113447
988424805
1042768167
11221613a2
12123a611b
138b25810
1459740d1
153b4c0b2
hex28c9727

42768167 has 8 divisors (see below), whose sum is σ = 47038656. Its totient is φ = 38637792.

The previous prime is 42768163. The next prime is 42768181. The reversal of 42768167 is 76186724.

42768167 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 42768167 - 22 = 42768163 is a prime.

It is a super-2 number, since 2×427681672 = 3658232217079778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42768163) 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, 34388 + ... + 35609.

It is an arithmetic number, because the mean of its divisors is an integer number (5879832).

Almost surely, 242768167 is an apocalyptic number.

42768167 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42768167 is a deficient number, since it is larger than the sum of its proper divisors (4270489).

42768167 is a wasteful number, since it uses less digits than its factorization.

42768167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70057.

The product of its digits is 112896, while the sum is 41.

The square root of 42768167 is about 6539.7375329596. The cubic root of 42768167 is about 349.7090561739.

The spelling of 42768167 in words is "forty-two million, seven hundred sixty-eight thousand, one hundred sixty-seven".

Divisors: 1 13 47 611 69997 909961 3289859 42768167