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164410533 = 337341433
BaseRepresentation
bin10011100110010…
…11010010100101
3102110100220212000
421303023102211
5314042114113
624151515513
74034316000
oct1163132245
9373326760
10164410533
1184895081
1247088b99
13280a6151
1417b9a537
15e679373
hex9ccb4a5

164410533 has 64 divisors (see below), whose sum is σ = 291648000. Its totient is φ = 91445760.

The previous prime is 164410489. The next prime is 164410583. The reversal of 164410533 is 335014461.

164410533 is a `hidden beast` number, since 1 + 644 + 10 + 5 + 3 + 3 = 666.

164410533 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 164410533 - 26 = 164410469 is a prime.

It is a super-3 number, since 3×1644105333 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 164410497 and 164410506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164410583) 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, 379485 + ... + 379917.

It is an arithmetic number, because the mean of its divisors is an integer number (4557000).

Almost surely, 2164410533 is an apocalyptic number.

It is an amenable number.

164410533 is a deficient number, since it is larger than the sum of its proper divisors (127237467).

164410533 is an equidigital number, since it uses as much as digits as its factorization.

164410533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164410533 is about 12822.2670772372. The cubic root of 164410533 is about 547.8267218592.

Adding to 164410533 its reverse (335014461), we get a palindrome (499424994).

The spelling of 164410533 in words is "one hundred sixty-four million, four hundred ten thousand, five hundred thirty-three".

Divisors: 1 3 7 9 21 27 41 49 63 123 147 189 287 343 369 433 441 861 1029 1107 1299 1323 2009 2583 3031 3087 3897 6027 7749 9093 9261 11691 14063 17753 18081 21217 27279 42189 53259 54243 63651 81837 124271 126567 148519 159777 190953 372813 379701 445557 479331 572859 869897 1118439 1336671 2609691 3355317 4010013 6089279 7829073 18267837 23487219 54803511 164410533