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82179045 = 32513140477
BaseRepresentation
bin1001110010111…
…11001111100101
312201122010110100
410321133033211
5132014212140
612053214313
72015340024
oct471371745
9181563410
1082179045
114242a373
1223631399
1314044170
14acb28bb
157334530
hex4e5f3e5

82179045 has 24 divisors (see below), whose sum is σ = 153401976. Its totient is φ = 40457088.

The previous prime is 82179043. The next prime is 82179061. The reversal of 82179045 is 54097128.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 80838081 = 1158^2 + 8991^2 .

It is not a de Polignac number, because 82179045 - 21 = 82179043 is a prime.

It is a super-2 number, since 2×821790452 = 13506790874224050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82179043) 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 23 ways as a sum of consecutive naturals, for example, 69654 + ... + 70823.

It is an arithmetic number, because the mean of its divisors is an integer number (6391749).

Almost surely, 282179045 is an apocalyptic number.

It is an amenable number.

82179045 is a deficient number, since it is larger than the sum of its proper divisors (71222931).

82179045 is a wasteful number, since it uses less digits than its factorization.

82179045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140501 (or 140498 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82179045 is about 9065.2658537960. The cubic root of 82179045 is about 434.7641210277.

The spelling of 82179045 in words is "eighty-two million, one hundred seventy-nine thousand, forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 140477 421431 702385 1264293 1826201 2107155 5478603 6321465 9131005 16435809 27393015 82179045