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2906083456 = 27137165721
BaseRepresentation
bin1010110100110111…
…0101000010000000
321111112022100001121
42231031311002000
521422424132311
61200211242024
7132005205343
oct25515650200
97445270047
102906083456
111261454571
126912a9314
133740c0a13
141d7d5a45a
151201e1b71
hexad375080

2906083456 has 32 divisors (see below), whose sum is σ = 5831757180. Its totient is φ = 1442426880.

The previous prime is 2906083429. The next prime is 2906083471. The reversal of 2906083456 is 6543806092.

It can be written as a sum of positive squares in 2 ways, for example, as 2851560000 + 54523456 = 53400^2 + 7384^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 65325 + ... + 100396.

Almost surely, 22906083456 is an apocalyptic number.

It is an amenable number.

2906083456 is an abundant number, since it is smaller than the sum of its proper divisors (2925673724).

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

2906083456 is a wasteful number, since it uses less digits than its factorization.

2906083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165872 (or 165860 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 2906083456 is about 53908.1019513765. The cubic root of 2906083456 is about 1427.0396082499.

The spelling of 2906083456 in words is "two billion, nine hundred six million, eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 137 274 548 1096 2192 4384 8768 17536 165721 331442 662884 1325768 2651536 5303072 10606144 21212288 22703777 45407554 90815108 181630216 363260432 726520864 1453041728 2906083456