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2906241409 = 17295939941
BaseRepresentation
bin1010110100111001…
…1011100110000001
321111112121100201201
42231032123212001
521422444211114
61200214501201
7132006434011
oct25516334601
97445540651
102906241409
111261552205
12691364801
13374147896
141d7d9bc41
15120223874
hexad39b981

2906241409 has 16 divisors (see below), whose sum is σ = 3188995920. Its totient is φ = 2636247040.

The previous prime is 2906241407. The next prime is 2906241449. The reversal of 2906241409 is 9041426092.

It is a happy number.

2906241409 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 8 ways, for example, as 81000000 + 2825241409 = 9000^2 + 53153^2 .

It is a cyclic number.

It is not a de Polignac number, because 2906241409 - 21 = 2906241407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2906241407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287379 + ... + 297319.

It is an arithmetic number, because the mean of its divisors is an integer number (199312245).

Almost surely, 22906241409 is an apocalyptic number.

2906241409 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2906241409 is a deficient number, since it is larger than the sum of its proper divisors (282754511).

2906241409 is a wasteful number, since it uses less digits than its factorization.

2906241409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580.

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 2906241409 is about 53909.5669524436. The cubic root of 2906241409 is about 1427.0654621878.

The spelling of 2906241409 in words is "two billion, nine hundred six million, two hundred forty-one thousand, four hundred nine".

Divisors: 1 17 29 493 593 9941 10081 17197 168997 288289 292349 4900913 5895013 100215221 170955377 2906241409