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82417149 = 3317917053
BaseRepresentation
bin1001110100110…
…01010111111101
312202002020002000
410322121113331
5132044322044
612102252513
72020351143
oct472312775
9182066060
1082417149
1142582251
1223727139
13140c8659
14ad35593
15737ed69
hex4e995fd

82417149 has 16 divisors (see below), whose sum is σ = 122788800. Its totient is φ = 54634608.

The previous prime is 82417141. The next prime is 82417151. The reversal of 82417149 is 94171428.

It is not a de Polignac number, because 82417149 - 23 = 82417141 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82417141) 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, 3694 + ... + 13359.

It is an arithmetic number, because the mean of its divisors is an integer number (7674300).

Almost surely, 282417149 is an apocalyptic number.

It is an amenable number.

82417149 is a deficient number, since it is larger than the sum of its proper divisors (40371651).

82417149 is a wasteful number, since it uses less digits than its factorization.

82417149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17241 (or 17235 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 82417149 is about 9078.3891192215. The cubic root of 82417149 is about 435.1836085780.

The spelling of 82417149 in words is "eighty-two million, four hundred seventeen thousand, one hundred forty-nine".

Divisors: 1 3 9 27 179 537 1611 4833 17053 51159 153477 460431 3052487 9157461 27472383 82417149