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83129309 = 357123279
BaseRepresentation
bin1001111010001…
…11001111011101
312210102101222022
410331013033131
5132240114214
612125425525
72026405334
oct475071735
9183371868
1083129309
1142a1930a
1223a0b2a5
13142b7853
14b07cd1b
157470d8e
hex4f473dd

83129309 has 4 divisors (see below), whose sum is σ = 83156160. Its totient is φ = 83102460.

The previous prime is 83129287. The next prime is 83129311. The reversal of 83129309 is 90392138.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 83129309 - 212 = 83125213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83129329) 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 3 ways as a sum of consecutive naturals, for example, 8069 + ... + 15210.

It is an arithmetic number, because the mean of its divisors is an integer number (20789040).

Almost surely, 283129309 is an apocalyptic number.

It is an amenable number.

83129309 is a deficient number, since it is larger than the sum of its proper divisors (26851).

83129309 is a wasteful number, since it uses less digits than its factorization.

83129309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26850.

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 83129309 is about 9117.5275705643. The cubic root of 83129309 is about 436.4334777192.

It can be divided in two parts, 83129 and 309, that added together give a palindrome (83438).

The spelling of 83129309 in words is "eighty-three million, one hundred twenty-nine thousand, three hundred nine".

Divisors: 1 3571 23279 83129309