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2828856969 = 32177292
BaseRepresentation
bin1010100010011100…
…1110111010001001
321022010222211020100
42220213032322021
521243141410334
61144412120013
7130046613261
oct25047167211
97263884210
102828856969
1112218a8124
1266b466009
133610c1b83
141cb9b67a1
15118539c99
hexa89cee89

2828856969 has 9 divisors (see below), whose sum is σ = 4086357223. Its totient is φ = 1885798272.

The previous prime is 2828856959. The next prime is 2828856973. The reversal of 2828856969 is 9696588282.

The square root of 2828856969 is 53187.

It is a perfect power (a square), and thus also a powerful number.

2828856969 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 8 + 569 + 69 = 666.

2828856969 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 only one way, i.e., 1899826569 + 929030400 = 43587^2 + 30480^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2828856969 - 219 = 2828332681 is a prime.

It is a super-3 number, since 3×28288569693 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2828856949) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 150697 + ... + 168425.

Almost surely, 22828856969 is an apocalyptic number.

2828856969 is the 53187-th square number.

2828856969 is the 26594-th centered octagonal number.

It is an amenable number.

2828856969 is a deficient number, since it is larger than the sum of its proper divisors (1257500254).

2828856969 is an frugal number, since it uses more digits than its factorization.

2828856969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35464 (or 17732 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The cubic root of 2828856969 is about 1414.2851994532.

The spelling of 2828856969 in words is "two billion, eight hundred twenty-eight million, eight hundred fifty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 17729 53187 159561 314317441 942952323 2828856969