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83197829 = 11131513853
BaseRepresentation
bin1001111010101…
…11111110000101
312210112212222002
410331113332011
5132244312304
612131115045
72030112161
oct475277605
9183485862
1083197829
1142a65840
1223a42a85
131430cab0
14b099ca1
15748631e
hex4f57f85

83197829 has 16 divisors (see below), whose sum is σ = 98415744. Its totient is φ = 69336000.

The previous prime is 83197817. The next prime is 83197837. The reversal of 83197829 is 92879138.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-83197829 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 (83197889) 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, 19667 + ... + 23519.

It is an arithmetic number, because the mean of its divisors is an integer number (6150984).

Almost surely, 283197829 is an apocalyptic number.

It is an amenable number.

83197829 is a deficient number, since it is larger than the sum of its proper divisors (15217915).

83197829 is a wasteful number, since it uses less digits than its factorization.

83197829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028.

The product of its digits is 217728, while the sum is 47.

The square root of 83197829 is about 9121.2843942068. The cubic root of 83197829 is about 436.5533560537.

The spelling of 83197829 in words is "eighty-three million, one hundred ninety-seven thousand, eight hundred twenty-nine".

Divisors: 1 11 13 143 151 1661 1963 3853 21593 42383 50089 550979 581803 6399833 7563439 83197829