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164052125 = 531777201
BaseRepresentation
bin10011100011100…
…11110010011101
3102102200201012122
421301303302131
5313444132000
624140112325
74031264036
oct1161636235
9372621178
10164052125
118466a876
1246b356a5
1327cabc83
1417b05a8d
15e608085
hex9c73c9d

164052125 has 16 divisors (see below), whose sum is σ = 216783216. Its totient is φ = 123520000.

The previous prime is 164052121. The next prime is 164052127. The reversal of 164052125 is 521250461.

It can be written as a sum of positive squares in 8 ways, for example, as 76405081 + 87647044 = 8741^2 + 9362^2 .

It is not a de Polignac number, because 164052125 - 22 = 164052121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164052094 and 164052103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164052121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36476 + ... + 40725.

It is an arithmetic number, because the mean of its divisors is an integer number (13548951).

Almost surely, 2164052125 is an apocalyptic number.

It is an amenable number.

164052125 is a deficient number, since it is larger than the sum of its proper divisors (52731091).

164052125 is an equidigital number, since it uses as much as digits as its factorization.

164052125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77233 (or 77223 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 164052125 is about 12808.2834525162. The cubic root of 164052125 is about 547.4283525574.

The spelling of 164052125 in words is "one hundred sixty-four million, fifty-two thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 77201 386005 1312417 1930025 6562085 9650125 32810425 164052125