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164484416 = 262570069
BaseRepresentation
bin10011100110111…
…01010101000000
3102110111200012102
421303131111000
5314102000131
624153245532
74035044255
oct1163352500
9373450172
10164484416
1184935638
12471038a8
1328100975
1417bb942c
15e6911cb
hex9cdd540

164484416 has 14 divisors (see below), whose sum is σ = 326398890. Its totient is φ = 82242176.

The previous prime is 164484413. The next prime is 164484461. The reversal of 164484416 is 614484461.

It can be written as a sum of positive squares in only one way, i.e., 146506816 + 17977600 = 12104^2 + 4240^2 .

It is a super-2 number, since 2×1644844162 = 54110246213722112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164484416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164484413) 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 as a sum of consecutive naturals, namely, 1284971 + ... + 1285098.

Almost surely, 2164484416 is an apocalyptic number.

164484416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164484416 is a deficient number, since it is larger than the sum of its proper divisors (161914474).

164484416 is an equidigital number, since it uses as much as digits as its factorization.

164484416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570081 (or 2570071 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 164484416 is about 12825.1477964193. The cubic root of 164484416 is about 547.9087705770.

The spelling of 164484416 in words is "one hundred sixty-four million, four hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 2570069 5140138 10280276 20560552 41121104 82242208 164484416