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164435025 = 35219257449
BaseRepresentation
bin10011100110100…
…01010001010001
3102110102011110010
421303101101101
5314043410100
624152225133
74034450256
oct1163212121
9373364403
10164435025
1184901517
124709b1a9
13280b4341
1417ba542d
15e681750
hex9cd1451

164435025 has 48 divisors (see below), whose sum is σ = 287928000. Its totient is φ = 82575360.

The previous prime is 164435021. The next prime is 164435057. The reversal of 164435025 is 520534461.

It is not a de Polignac number, because 164435025 - 22 = 164435021 is a prime.

It is a super-3 number, since 3×1644350253 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164434983 and 164435001.

It is not an unprimeable number, because it can be changed into a prime (164435021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 366001 + ... + 366449.

It is an arithmetic number, because the mean of its divisors is an integer number (5998500).

Almost surely, 2164435025 is an apocalyptic number.

164435025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164435025 is a deficient number, since it is larger than the sum of its proper divisors (123492975).

164435025 is a wasteful number, since it uses less digits than its factorization.

164435025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 164435025 is about 12823.2220989890. Note that the first 3 decimals coincide. The cubic root of 164435025 is about 547.8539234941.

Adding to 164435025 its reverse (520534461), we get a palindrome (684969486).

The spelling of 164435025 in words is "one hundred sixty-four million, four hundred thirty-five thousand, twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 257 285 449 475 771 1285 1347 1425 2245 3855 4883 6425 6735 8531 11225 14649 19275 24415 25593 33675 42655 73245 115393 122075 127965 213275 346179 366225 576965 639825 1730895 2192467 2884825 6577401 8654475 10962335 32887005 54811675 164435025