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164312925 = 3527244711
BaseRepresentation
bin10011100101100…
…11011101011101
3102110011221221220
421302303131131
5314031003200
624145443553
74033431300
oct1162633535
9373157856
10164312925
1184828807
12470405b9
13280708aa
1417b72b37
15e65a4a0
hex9cb375d

164312925 has 36 divisors (see below), whose sum is σ = 316024416. Its totient is φ = 75112800.

The previous prime is 164312921. The next prime is 164312947. The reversal of 164312925 is 529213461.

It is not a de Polignac number, because 164312925 - 22 = 164312921 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164312921) 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 35 ways as a sum of consecutive naturals, for example, 18681 + ... + 26030.

It is an arithmetic number, because the mean of its divisors is an integer number (8778456).

Almost surely, 2164312925 is an apocalyptic number.

164312925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164312925 is a deficient number, since it is larger than the sum of its proper divisors (151711491).

164312925 is a wasteful number, since it uses less digits than its factorization.

164312925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44738 (or 44726 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 164312925 is about 12818.4603209590. The cubic root of 164312925 is about 547.7182883035.

The spelling of 164312925 in words is "one hundred sixty-four million, three hundred twelve thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 245 525 735 1225 3675 44711 134133 223555 312977 670665 938931 1117775 1564885 2190839 3353325 4694655 6572517 7824425 10954195 23473275 32862585 54770975 164312925