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1059312449 = 13217223241
BaseRepresentation
bin111111001000111…
…101001101000001
32201211021122111102
4333020331031001
54132140444244
6253040424145
735152002326
oct7710751501
92654248442
101059312449
114a3a55138
12256918055
1313b606200
14a098ab4d
1562eea54e
hex3f23d341

1059312449 has 54 divisors (see below), whose sum is σ = 1304859906. Its totient is φ = 858823680.

The previous prime is 1059312413. The next prime is 1059312451. The reversal of 1059312449 is 9442139501.

It can be written as a sum of positive squares in 9 ways, for example, as 513249025 + 546063424 = 22655^2 + 23368^2 .

It is not a de Polignac number, because 1059312449 - 28 = 1059312193 is a prime.

It is a super-2 number, since 2×10593124492 = 2244285729212755202, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1059312409) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25836869 + ... + 25836909.

Almost surely, 21059312449 is an apocalyptic number.

It is an amenable number.

1059312449 is a deficient number, since it is larger than the sum of its proper divisors (245547457).

1059312449 is a wasteful number, since it uses less digits than its factorization.

1059312449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 1059312449 is about 32547.0804988712. The cubic root of 1059312449 is about 1019.3923232266.

The spelling of 1059312449 in words is "one billion, fifty-nine million, three hundred twelve thousand, four hundred forty-nine".

Divisors: 1 13 17 23 41 169 221 289 299 391 529 533 697 943 2873 3757 3887 5083 6647 6877 6929 8993 9061 11849 12259 16031 21689 48841 66079 86411 89401 116909 117793 152881 154037 159367 208403 272527 281957 368713 1123343 1519817 1987453 2002481 2709239 3542851 3665441 4793269 6268121 25836889 46057063 62312497 81485573 1059312449