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3853706441 = 1329311991657
BaseRepresentation
bin1110010110110010…
…1110010011001001
3100221120102120102012
43211230232103021
530343022101231
61434222145305
7164332651514
oct34554562311
910846376365
103853706441
1116a8353762
128b6722235
1349551c890
14287b51d7b
151784c8e2b
hexe5b2e4c9

3853706441 has 32 divisors (see below), whose sum is σ = 4456704000. Its totient is φ = 3305111040.

The previous prime is 3853706413. The next prime is 3853706453. The reversal of 3853706441 is 1446073583.

3853706441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3853706441 - 26 = 3853706377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3853706341) 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 31 ways as a sum of consecutive naturals, for example, 2324885 + ... + 2326541.

It is an arithmetic number, because the mean of its divisors is an integer number (139272000).

Almost surely, 23853706441 is an apocalyptic number.

3853706441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3853706441 is a deficient number, since it is larger than the sum of its proper divisors (602997559).

3853706441 is a wasteful number, since it uses less digits than its factorization.

3853706441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929.

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 3853706441 is about 62078.2283977241. The cubic root of 3853706441 is about 1567.8080004099.

The spelling of 3853706441 in words is "three billion, eight hundred fifty-three million, seven hundred six thousand, four hundred forty-one".

Divisors: 1 13 29 31 199 377 403 899 1657 2587 5771 6169 11687 21541 48053 51367 75023 80197 178901 329743 624689 667771 1489643 2325713 4286659 9562547 10222033 19365359 124313111 132886429 296438957 3853706441