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164444481 = 3241445649
BaseRepresentation
bin10011100110100…
…11100101000001
3102110102122102100
421303103211001
5314044210411
624152341013
74034516655
oct1163234501
9373378370
10164444481
1184908633
12470a4769
13280b8736
1417ba8a65
15e684456
hex9cd3941

164444481 has 12 divisors (see below), whose sum is σ = 243324900. Its totient is φ = 106955520.

The previous prime is 164444479. The next prime is 164444507. The reversal of 164444481 is 184444461.

164444481 is a `hidden beast` number, since 1 + 644 + 4 + 4 + 4 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47610000 + 116834481 = 6900^2 + 10809^2 .

It is not a de Polignac number, because 164444481 - 21 = 164444479 is a prime.

It is a super-2 number, since 2×1644444812 = 54083974662718722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164444081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222456 + ... + 223193.

It is an arithmetic number, because the mean of its divisors is an integer number (20277075).

Almost surely, 2164444481 is an apocalyptic number.

It is an amenable number.

164444481 is a deficient number, since it is larger than the sum of its proper divisors (78880419).

164444481 is a wasteful number, since it uses less digits than its factorization.

164444481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445696 (or 445693 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 164444481 is about 12823.5907997721. The cubic root of 164444481 is about 547.8644249214.

The spelling of 164444481 in words is "one hundred sixty-four million, four hundred forty-four thousand, four hundred eighty-one".

Divisors: 1 3 9 41 123 369 445649 1336947 4010841 18271609 54814827 164444481