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164082375 = 335361797
BaseRepresentation
bin10011100011110…
…11001011000111
3102102202020201000
421301323023013
5314001114000
624140504343
74031451162
oct1161731307
9372666630
10164082375
1184690576
1246b4b0b3
1327cbc982
1417b12ad9
15e612000
hex9c7b2c7

164082375 has 64 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 85968000.

The previous prime is 164082371. The next prime is 164082403. The reversal of 164082375 is 573280461.

164082375 is a `hidden beast` number, since 1 + 640 + 8 + 2 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 164082375 - 22 = 164082371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164082371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205477 + ... + 206273.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2164082375 is an apocalyptic number.

164082375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164082375 is a deficient number, since it is larger than the sum of its proper divisors (144647865).

164082375 is an equidigital number, since it uses as much as digits as its factorization.

164082375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 164082375 is about 12809.4642745120. The cubic root of 164082375 is about 547.4619977376.

The spelling of 164082375 in words is "one hundred sixty-four million, eighty-two thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 61 75 125 135 183 225 305 375 549 675 797 915 1125 1525 1647 2391 2745 3375 3985 4575 7173 7625 8235 11955 13725 19925 21519 22875 35865 41175 48617 59775 68625 99625 107595 145851 179325 205875 243085 298875 437553 537975 729255 896625 1215425 1312659 2187765 2689875 3646275 6077125 6563295 10938825 18231375 32816475 54694125 164082375