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2890460169 = 32179212
BaseRepresentation
bin1010110001001000…
…1110110000001001
321110102220120221100
42230102032300021
521404424211134
61154452332013
7131425335402
oct25422166011
97412816840
102890460169
111253653563
12688014009
13370ab077c
141d5c509a9
1511db57999
hexac48ec09

2890460169 has 9 divisors (see below), whose sum is σ = 4175342119. Its totient is φ = 1926865920.

The previous prime is 2890460159. The next prime is 2890460171. The reversal of 2890460169 is 9610640982.

It is a happy number.

The square root of 2890460169 is 53763.

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

2890460169 is a `hidden beast` number, since 28 + 9 + 0 + 460 + 169 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38900169 + 2851560000 = 6237^2 + 53400^2 .

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

It is not a de Polignac number, because 2890460169 - 215 = 2890427401 is a prime.

It is a super-2 number, since 2×28904601692 = 16709519977151017122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2890460149) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 152329 + ... + 170249.

Almost surely, 22890460169 is an apocalyptic number.

2890460169 is the 53763-rd square number.

2890460169 is the 26882-nd centered octagonal number.

It is an amenable number.

2890460169 is a deficient number, since it is larger than the sum of its proper divisors (1284881950).

2890460169 is an frugal number, since it uses more digits than its factorization.

2890460169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35848 (or 17924 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The cubic root of 2890460169 is about 1424.4777269814.

Multiplying 2890460169 by its product of nonzero digits (186624), we get a square (539429238579456 = 232256162).

The spelling of 2890460169 in words is "two billion, eight hundred ninety million, four hundred sixty thousand, one hundred sixty-nine".

Divisors: 1 3 9 17921 53763 161289 321162241 963486723 2890460169