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83119689 = 3410132
BaseRepresentation
bin1001111010001…
…00111001001001
312210101220210000
410331010321021
5132234312224
612125313213
72026335312
oct475047111
9183356700
1083119689
1142a12064
1223a05809
13142b3363
14b079609
15746d0c9
hex4f44e49

83119689 has 15 divisors (see below), whose sum is σ = 124289143. Its totient is φ = 55358424.

The previous prime is 83119657. The next prime is 83119691. The reversal of 83119689 is 98691138.

The square root of 83119689 is 9117.

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

It can be written as a sum of positive squares in only one way, i.e., 164025 + 82955664 = 405^2 + 9108^2 .

It is not a de Polignac number, because 83119689 - 25 = 83119657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83119639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 81547 + ... + 82559.

Almost surely, 283119689 is an apocalyptic number.

83119689 is the 9117-th square number.

83119689 is the 4559-th centered octagonal number.

It is an amenable number.

83119689 is a deficient number, since it is larger than the sum of its proper divisors (41169454).

83119689 is an frugal number, since it uses more digits than its factorization.

83119689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1016 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The cubic root of 83119689 is about 436.4166418921.

The spelling of 83119689 in words is "eighty-three million, one hundred nineteen thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 81 1013 3039 9117 27351 82053 1026169 3078507 9235521 27706563 83119689