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164424126 = 23531313947
BaseRepresentation
bin10011100110011…
…10100110111110
3102110101121111110
421303032212332
5314043033001
624152102450
74034403426
oct1163164676
9373347443
10164424126
11848a4309
1247094a26
13280ac3a9
1417ba1486
15e67d3d6
hex9cce9be

164424126 has 32 divisors (see below), whose sum is σ = 337696128. Its totient is φ = 53349920.

The previous prime is 164424103. The next prime is 164424149. The reversal of 164424126 is 621424461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164424103) and next prime (164424149).

It is a super-3 number, since 3×1644241263 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164424093 and 164424102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39685 + ... + 43631.

It is an arithmetic number, because the mean of its divisors is an integer number (10553004).

Almost surely, 2164424126 is an apocalyptic number.

164424126 is an abundant number, since it is smaller than the sum of its proper divisors (173272002).

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

164424126 is a wasteful number, since it uses less digits than its factorization.

164424126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136.

The product of its digits is 9216, while the sum is 30.

The square root of 164424126 is about 12822.7971207533. The cubic root of 164424126 is about 547.8418190335.

Adding to 164424126 its reverse (621424461), we get a palindrome (785848587).

The spelling of 164424126 in words is "one hundred sixty-four million, four hundred twenty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 53 106 131 159 262 318 393 786 3947 6943 7894 11841 13886 20829 23682 41658 209191 418382 517057 627573 1034114 1255146 1551171 3102342 27404021 54808042 82212063 164424126