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2742624441 = 3433859561
BaseRepresentation
bin1010001101111001…
…0010000010111001
321002010201202110000
42203132102002321
521104102440231
61132051543213
7124651631424
oct24336220271
97063652400
102742624441
11118815a377
126465bab09
1334928b9cb
141c036a9bb
15110ba46e6
hexa37920b9

2742624441 has 10 divisors (see below), whose sum is σ = 4097007002. Its totient is φ = 1828416240.

The previous prime is 2742624421. The next prime is 2742624473. The reversal of 2742624441 is 1444262472.

2742624441 is a `hidden beast` number, since 27 + 4 + 2 + 624 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2540160000 + 202464441 = 50400^2 + 14229^2 .

It is not a de Polignac number, because 2742624441 - 210 = 2742623417 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2742624396 and 2742624405.

It is not an unprimeable number, because it can be changed into a prime (2742624421) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16929700 + ... + 16929861.

Almost surely, 22742624441 is an apocalyptic number.

It is an amenable number.

2742624441 is a deficient number, since it is larger than the sum of its proper divisors (1354382561).

2742624441 is an equidigital number, since it uses as much as digits as its factorization.

2742624441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33859573 (or 33859564 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 2742624441 is about 52370.0719972772. The cubic root of 2742624441 is about 1399.7660222928.

The spelling of 2742624441 in words is "two billion, seven hundred forty-two million, six hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 33859561 101578683 304736049 914208147 2742624441