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42778746 = 233978167
BaseRepresentation
bin1010001100110…
…0000001111010
32222111101102000
42203030001322
541422404441
64124521430
71026420243
oct243140172
988441360
1042778746
112216933a
12123b0276
138b2a58a
145977cca
153b502b6
hex28cc07a

42778746 has 32 divisors (see below), whose sum is σ = 96055680. Its totient is φ = 14110848.

The previous prime is 42778739. The next prime is 42778777. The reversal of 42778746 is 64787724.

It is a super-2 number, since 2×427787462 = 3660042218665032, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1155 + ... + 9321.

It is an arithmetic number, because the mean of its divisors is an integer number (3001740).

Almost surely, 242778746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42778746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48027840).

42778746 is an abundant number, since it is smaller than the sum of its proper divisors (53276934).

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

42778746 is a wasteful number, since it uses less digits than its factorization.

42778746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8269 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 42778746 is about 6540.5463074578. The cubic root of 42778746 is about 349.7378881095.

The spelling of 42778746 in words is "forty-two million, seven hundred seventy-eight thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 582 873 1746 2619 5238 8167 16334 24501 49002 73503 147006 220509 441018 792199 1584398 2376597 4753194 7129791 14259582 21389373 42778746