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2540082629 = 72373138977
BaseRepresentation
bin1001011101100110…
…1001010111000101
320120000121120022102
42113121221113011
520200230121004
61100014441445
7116642226500
oct22731512705
96500546272
102540082629
1110938a0747
125aa803285
13316324796
141a14c6137
15ecee711e
hex976695c5

2540082629 has 12 divisors (see below), whose sum is σ = 2962733004. Its totient is φ = 2171361024.

The previous prime is 2540082607. The next prime is 2540082661. The reversal of 2540082629 is 9262800452.

It can be written as a sum of positive squares in 2 ways, for example, as 466646404 + 2073436225 = 21602^2 + 45535^2 .

It is not a de Polignac number, because 2540082629 - 212 = 2540078533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2540082592 and 2540082601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540082689) 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 11 ways as a sum of consecutive naturals, for example, 51212 + ... + 87765.

It is an arithmetic number, because the mean of its divisors is an integer number (246894417).

Almost surely, 22540082629 is an apocalyptic number.

It is an amenable number.

2540082629 is a deficient number, since it is larger than the sum of its proper divisors (422650375).

2540082629 is a wasteful number, since it uses less digits than its factorization.

2540082629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139364 (or 139357 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2540082629 is about 50399.2324247106. The cubic root of 2540082629 is about 1364.4237848450.

The spelling of 2540082629 in words is "two billion, five hundred forty million, eighty-two thousand, six hundred twenty-nine".

Divisors: 1 7 49 373 2611 18277 138977 972839 6809873 51838421 362868947 2540082629