Search a number
-
+
164426944 = 2611311751
BaseRepresentation
bin10011100110011…
…11010011000000
3102110101202100211
421303033103000
5314043130234
624152123504
74034414563
oct1163172300
9373352324
10164426944
11848a6440
1247096594
13280b0766
1417ba24da
15e67e164
hex9ccf4c0

164426944 has 56 divisors (see below), whose sum is σ = 357566976. Its totient is φ = 74400000.

The previous prime is 164426939. The next prime is 164426947. The reversal of 164426944 is 449624461.

It is a super-3 number, since 3×1644269443 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164426897 and 164426906.

It is not an unprimeable number, because it can be changed into a prime (164426947) 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 7 ways as a sum of consecutive naturals, for example, 218569 + ... + 219319.

Almost surely, 2164426944 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 164426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178783488).

164426944 is an abundant number, since it is smaller than the sum of its proper divisors (193140032).

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

164426944 is a wasteful number, since it uses less digits than its factorization.

164426944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The square root of 164426944 is about 12822.9070027042. The cubic root of 164426944 is about 547.8449487636.

The spelling of 164426944 in words is "one hundred sixty-four million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 311 352 622 704 751 1244 1502 2488 3004 3421 4976 6008 6842 8261 9952 12016 13684 16522 19904 24032 27368 33044 48064 54736 66088 109472 132176 218944 233561 264352 467122 528704 934244 1868488 2569171 3736976 5138342 7473952 10276684 14947904 20553368 41106736 82213472 164426944