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164508327 = 371937107
BaseRepresentation
bin10011100111000…
…11001010100111
3102110112220000000
421303203022213
5314103231302
624153552343
74035204054
oct1163431247
9373486000
10164508327
11849515a5
12471156b3
132810b809
1417bc402b
15e69831c
hex9ce32a7

164508327 has 64 divisors (see below), whose sum is σ = 269222400. Its totient is φ = 100147104.

The previous prime is 164508317. The next prime is 164508353. The reversal of 164508327 is 723805461.

164508327 is a `hidden beast` number, since 1 + 645 + 0 + 8 + 3 + 2 + 7 = 666.

It is not a de Polignac number, because 164508327 - 210 = 164507303 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164508291 and 164508300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164508317) 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, 1537408 + ... + 1537514.

It is an arithmetic number, because the mean of its divisors is an integer number (4206600).

Almost surely, 2164508327 is an apocalyptic number.

164508327 is a deficient number, since it is larger than the sum of its proper divisors (104714073).

164508327 is an equidigital number, since it uses as much as digits as its factorization.

164508327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

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

The square root of 164508327 is about 12826.0799545301. The cubic root of 164508327 is about 547.9353190127.

The spelling of 164508327 in words is "one hundred sixty-four million, five hundred eight thousand, three hundred twenty-seven".

Divisors: 1 3 9 19 27 37 57 81 107 111 171 243 321 333 513 703 729 963 999 1539 2033 2109 2187 2889 2997 3959 4617 6099 6327 8667 8991 11877 13851 18297 18981 26001 26973 35631 41553 54891 56943 75221 78003 80919 106893 164673 170829 225663 234009 320679 494019 512487 676989 962037 1482057 1537461 2030967 2886111 4446171 6092901 8658333 18278703 54836109 164508327