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42768054 = 2337113143
BaseRepresentation
bin1010001100100…
…1011010110110
32222110211202000
42203021122312
541422034204
64124400130
71026344130
oct243113266
988424660
1042768054
11221612aa
12123a6046
138b25754
145974050
153b4c039
hex28c96b6

42768054 has 32 divisors (see below), whose sum is σ = 108618240. Its totient is φ = 12219336.

The previous prime is 42768049. The next prime is 42768059. The reversal of 42768054 is 45086724.

42768054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42768049) and next prime (42768059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42768059) 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 15 ways as a sum of consecutive naturals, for example, 56194 + ... + 56949.

It is an arithmetic number, because the mean of its divisors is an integer number (3394320).

Almost surely, 242768054 is an apocalyptic number.

42768054 is an abundant number, since it is smaller than the sum of its proper divisors (65850186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42768054 is a wasteful number, since it uses less digits than its factorization.

42768054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113161 (or 113155 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 42768054 is about 6539.7288934634. The cubic root of 42768054 is about 349.7087481788.

The spelling of 42768054 in words is "forty-two million, seven hundred sixty-eight thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 113143 226286 339429 678858 792001 1018287 1584002 2036574 2376003 3054861 4752006 6109722 7128009 14256018 21384027 42768054