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1382816383 = 13973313313
BaseRepresentation
bin101001001101100…
…0001101001111111
310120101000100110121
41102123001221333
510313000111013
6345114315411
746160513434
oct12233015177
93511010417
101382816383
1164a622463
12327128b67
13190643260
14d191bb8b
15815ed58d
hex526c1a7f

1382816383 has 16 divisors (see below), whose sum is σ = 1509540256. Its totient is φ = 1259089920.

The previous prime is 1382816359. The next prime is 1382816423. The reversal of 1382816383 is 3836182831.

It is a cyclic number.

It is not a de Polignac number, because 1382816383 - 213 = 1382808191 is a prime.

It is a super-2 number, since 2×13828163832 = 3824362298186405378, 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 (1382816353) 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 15 ways as a sum of consecutive naturals, for example, 415735 + ... + 419047.

It is an arithmetic number, because the mean of its divisors is an integer number (94346266).

Almost surely, 21382816383 is an apocalyptic number.

1382816383 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1382816383 is a deficient number, since it is larger than the sum of its proper divisors (126723873).

1382816383 is a wasteful number, since it uses less digits than its factorization.

1382816383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754.

The product of its digits is 165888, while the sum is 43.

The square root of 1382816383 is about 37186.2391618190. The cubic root of 1382816383 is about 1114.0931536708.

The spelling of 1382816383 in words is "one billion, three hundred eighty-two million, eight hundred sixteen thousand, three hundred eighty-three".

Divisors: 1 13 97 331 1261 3313 4303 32107 43069 321361 417391 1096603 4177693 14255839 106370491 1382816383