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164211648 = 263855269
BaseRepresentation
bin10011100100110…
…10101111000000
3102102222211000220
421302122233000
5314014233043
624143343040
74032530106
oct1162325700
9372884026
10164211648
1184769707
1246bb1a80
1328036773
1417b47c76
15e63a483
hex9c9abc0

164211648 has 28 divisors (see below), whose sum is σ = 434477160. Its totient is φ = 54737152.

The previous prime is 164211647. The next prime is 164211667. The reversal of 164211648 is 846112461.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164211647) 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 3 ways as a sum of consecutive naturals, for example, 427443 + ... + 427826.

Almost surely, 2164211648 is an apocalyptic number.

It is an amenable number.

164211648 is an abundant number, since it is smaller than the sum of its proper divisors (270265512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164211648 is an equidigital number, since it uses as much as digits as its factorization.

164211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855284 (or 855274 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 164211648 is about 12814.5092765974. The cubic root of 164211648 is about 547.6057334211.

The spelling of 164211648 in words is "one hundred sixty-four million, two hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 855269 1710538 2565807 3421076 5131614 6842152 10263228 13684304 20526456 27368608 41052912 54737216 82105824 164211648