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164994025 = 52723672
BaseRepresentation
bin10011101010110…
…01101111101001
3102111110120020211
421311121233221
5314214302100
624212221121
74042266100
oct1165315751
9374416224
10164994025
11851534a9
124730a7a1
132824b901
1417cad037
15e7421ba
hex9d59be9

164994025 has 27 divisors (see below), whose sum is σ = 238645719. Its totient is φ = 112830480.

The previous prime is 164994007. The next prime is 164994029. The reversal of 164994025 is 520499461.

164994025 = 17922 + 17932 + ... + 18412.

The square root of 164994025 is 12845.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59397849 + 105596176 = 7707^2 + 10276^2 .

It is not a de Polignac number, because 164994025 - 215 = 164961257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164994029) 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 26 ways as a sum of consecutive naturals, for example, 449392 + ... + 449758.

Almost surely, 2164994025 is an apocalyptic number.

164994025 is the 12845-th square number.

164994025 is the 6423-rd centered octagonal number.

It is an amenable number.

164994025 is a deficient number, since it is larger than the sum of its proper divisors (73651694).

164994025 is an frugal number, since it uses more digits than its factorization.

164994025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The cubic root of 164994025 is about 548.4740346140.

The spelling of 164994025 in words is "one hundred sixty-four million, nine hundred ninety-four thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 367 1225 1835 2569 9175 12845 17983 64225 89915 134689 449575 673445 942823 3367225 4714115 6599761 23570575 32998805 164994025