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164381464 = 231319412029
BaseRepresentation
bin10011100110001…
…00001100011000
3102110022102222101
421303010030120
5314040201324
624151133144
74034135152
oct1163041430
9373272871
10164381464
1184875255
12470741b4
1328095b50
1417b8dad2
15e670944
hex9cc4318

164381464 has 64 divisors (see below), whose sum is σ = 358092000. Its totient is φ = 70087680.

The previous prime is 164381453. The next prime is 164381507. The reversal of 164381464 is 464183461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80002 + ... + 82030.

Almost surely, 2164381464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164381464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179046000).

164381464 is an abundant number, since it is smaller than the sum of its proper divisors (193710536).

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

164381464 is a wasteful number, since it uses less digits than its factorization.

164381464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2104 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 164381464 is about 12821.1334912324. The cubic root of 164381464 is about 547.7944333488.

The spelling of 164381464 in words is "one hundred sixty-four million, three hundred eighty-one thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 19 26 38 41 52 76 82 104 152 164 247 328 494 533 779 988 1066 1558 1976 2029 2132 3116 4058 4264 6232 8116 10127 16232 20254 26377 38551 40508 52754 77102 81016 83189 105508 154204 166378 211016 308408 332756 501163 665512 1002326 1081457 1580591 2004652 2162914 3161182 4009304 4325828 6322364 8651656 12644728 20547683 41095366 82190732 164381464