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164262641 = 2938914561
BaseRepresentation
bin10011100101001…
…11001011110001
3102110002101222112
421302213023301
5314022401031
624144415105
74033131554
oct1162471361
9373071875
10164262641
11847a3a54
1247017495
1328053a3a
1417b5c69b
15e64a62b
hex9ca72f1

164262641 has 8 divisors (see below), whose sum is σ = 170375400. Its totient is φ = 158179840.

The previous prime is 164262617. The next prime is 164262661. The reversal of 164262641 is 146262461.

It can be written as a sum of positive squares in 4 ways, for example, as 36663025 + 127599616 = 6055^2 + 11296^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-164262641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164262598 and 164262607.

It is not an unprimeable number, because it can be changed into a prime (164262601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4001 + ... + 18561.

It is an arithmetic number, because the mean of its divisors is an integer number (21296925).

Almost surely, 2164262641 is an apocalyptic number.

It is an amenable number.

164262641 is a deficient number, since it is larger than the sum of its proper divisors (6112759).

164262641 is a wasteful number, since it uses less digits than its factorization.

164262641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14979.

The product of its digits is 13824, while the sum is 32.

The square root of 164262641 is about 12816.4987808684. The cubic root of 164262641 is about 547.6624106210.

The spelling of 164262641 in words is "one hundred sixty-four million, two hundred sixty-two thousand, six hundred forty-one".

Divisors: 1 29 389 11281 14561 422269 5664229 164262641