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2442420061 = 37413534561
BaseRepresentation
bin1001000110010100…
…0101111101011101
320022012211210110021
42101211011331131
520000224420221
61042205312141
7114345141124
oct22145057535
96265753407
102442420061
111043756384
12581b65651
132cc01bb93
14192542abb
15e4655041
hex91945f5d

2442420061 has 16 divisors (see below), whose sum is σ = 2577457008. Its totient is φ = 2311372800.

The previous prime is 2442420047. The next prime is 2442420083. The reversal of 2442420061 is 1600242442.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 83375161 + 2359044900 = 9131^2 + 48570^2 .

It is a cyclic number.

It is not a de Polignac number, because 2442420061 - 213 = 2442411869 is a prime.

It is a super-3 number, since 3×24424200613 (a number of 29 digits) contains 333 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 (2442420031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 533221 + ... + 537781.

It is an arithmetic number, because the mean of its divisors is an integer number (161091063).

Almost surely, 22442420061 is an apocalyptic number.

It is an amenable number.

2442420061 is a deficient number, since it is larger than the sum of its proper divisors (135036947).

2442420061 is a wasteful number, since it uses less digits than its factorization.

2442420061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4992.

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2442420061 is about 49420.8464213231. The cubic root of 2442420061 is about 1346.7080396549.

The spelling of 2442420061 in words is "two billion, four hundred forty-two million, four hundred twenty thousand, sixty-one".

Divisors: 1 37 41 353 1517 4561 13061 14473 168757 187001 535501 1610033 6919037 59571221 66011353 2442420061