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242078045 = 51121723537
BaseRepresentation
bin11100110110111…
…01000101011101
3121212111211122112
432123131011131
5443432444140
640004323405
75666425616
oct1633350535
9555454575
10242078045
11114712900
12690a3565
133b1ca961
1424216c0d
15163bbc65
hexe6dd15d

242078045 has 24 divisors (see below), whose sum is σ = 338099832. Its totient is φ = 165693440.

The previous prime is 242078033. The next prime is 242078071. The reversal of 242078045 is 540870242.

It can be written as a sum of positive squares in 4 ways, for example, as 33477796 + 208600249 = 5786^2 + 14443^2 .

It is not a de Polignac number, because 242078045 - 24 = 242078029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1484 + ... + 22053.

It is an arithmetic number, because the mean of its divisors is an integer number (14087493).

Almost surely, 2242078045 is an apocalyptic number.

It is an amenable number.

242078045 is a deficient number, since it is larger than the sum of its proper divisors (96021787).

242078045 is a wasteful number, since it uses less digits than its factorization.

242078045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23581 (or 23570 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 242078045 is about 15558.8574451982. The cubic root of 242078045 is about 623.2349517934.

The spelling of 242078045 in words is "two hundred forty-two million, seventy-eight thousand, forty-five".

Divisors: 1 5 11 17 55 85 121 187 605 935 2057 10285 23537 117685 258907 400129 1294535 2000645 2847977 4401419 14239885 22007095 48415609 242078045