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1309933249 = 17221292
BaseRepresentation
bin100111000010011…
…1111111011000001
310101021212111121021
41032010333323001
510140320330444
6333552225441
744314151242
oct11604777301
93337774537
101309933249
11612472269
1230683b281
1317b505341
14c5d88cc9
157a003584
hex4e13fec1

1309933249 has 9 divisors (see below), whose sum is σ = 1392174697. Its totient is φ = 1232299264.

The previous prime is 1309933211. The next prime is 1309933259. The reversal of 1309933249 is 9423399031.

It is a happy number.

The square root of 1309933249 is 36193.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1809025 + 1308124224 = 1345^2 + 36168^2 .

It is a de Polignac number, because none of the positive numbers 2k-1309933249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1309933259) 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 8 ways as a sum of consecutive naturals, for example, 614217 + ... + 616345.

Almost surely, 21309933249 is an apocalyptic number.

1309933249 is the 36193-rd square number.

1309933249 is the 18097-th centered octagonal number.

It is an amenable number.

1309933249 is a deficient number, since it is larger than the sum of its proper divisors (82241448).

1309933249 is an frugal number, since it uses more digits than its factorization.

1309933249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 43.

The cubic root of 1309933249 is about 1094.1655963435.

The spelling of 1309933249 in words is "one billion, three hundred nine million, nine hundred thirty-three thousand, two hundred forty-nine".

Divisors: 1 17 289 2129 36193 615281 4532641 77054897 1309933249