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82138187 = 3747149317
BaseRepresentation
bin1001110010101…
…01010001001011
312201120001102002
410321111101023
5132011410222
612052301215
72015106635
oct471252113
9181501362
1082138187
11424016aa
122361180b
131402b6a1
14aca1a55
157327392
hex4e5544b

82138187 has 16 divisors (see below), whose sum is σ = 87004800. Its totient is φ = 77447808.

The previous prime is 82138183. The next prime is 82138193. The reversal of 82138187 is 78183128.

It is not a de Polignac number, because 82138187 - 22 = 82138183 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82138187.

It is not an unprimeable number, because it can be changed into a prime (82138183) 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 15 ways as a sum of consecutive naturals, for example, 258953 + ... + 259269.

It is an arithmetic number, because the mean of its divisors is an integer number (5437800).

Almost surely, 282138187 is an apocalyptic number.

82138187 is a deficient number, since it is larger than the sum of its proper divisors (4866613).

82138187 is a wasteful number, since it uses less digits than its factorization.

82138187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550.

The product of its digits is 21504, while the sum is 38.

The square root of 82138187 is about 9063.0120269147. The cubic root of 82138187 is about 434.6920566825.

It can be divided in two parts, 8213818 and 7, that multiplied together give a triangular number (57496726 = T10723).

The spelling of 82138187 in words is "eighty-two million, one hundred thirty-eight thousand, one hundred eighty-seven".

Divisors: 1 37 47 149 317 1739 5513 7003 11729 14899 47233 259111 551263 1747621 2219951 82138187