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42766308 = 22321391381
BaseRepresentation
bin1010001100100…
…0111111100100
32222110202100100
42203020333210
541422010213
64124344100
71026336054
oct243107744
988422310
1042766308
112215aa62
12123a5030
138b24a10
145973564
153b4b773
hex28c8fe4

42766308 has 36 divisors (see below), whose sum is σ = 116420668. Its totient is φ = 13158720.

The previous prime is 42766289. The next prime is 42766309. The reversal of 42766308 is 80366724.

42766308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20412324 + 22353984 = 4518^2 + 4728^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42766309) 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 11 ways as a sum of consecutive naturals, for example, 45223 + ... + 46158.

Almost surely, 242766308 is an apocalyptic number.

It is an amenable number.

42766308 is an abundant number, since it is smaller than the sum of its proper divisors (73654360).

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

42766308 is a wasteful number, since it uses less digits than its factorization.

42766308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91404 (or 91399 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42766308 is about 6539.5954003287. The cubic root of 42766308 is about 349.7039891766.

The spelling of 42766308 in words is "forty-two million, seven hundred sixty-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 91381 182762 274143 365524 548286 822429 1096572 1187953 1644858 2375906 3289716 3563859 4751812 7127718 10691577 14255436 21383154 42766308