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164424636 = 223226916979
BaseRepresentation
bin10011100110011…
…10101110111100
3102110101122012100
421303032232330
5314043042021
624152105100
74034405055
oct1163165674
9373348170
10164424636
11848a4732
1247095190
13280ac6ac
1417ba172c
15e67d626
hex9ccebbc

164424636 has 36 divisors (see below), whose sum is σ = 417198600. Its totient is φ = 54601248.

The previous prime is 164424593. The next prime is 164424641. The reversal of 164424636 is 636424461.

164424636 is a `hidden beast` number, since 1 + 644 + 2 + 4 + 6 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1644246363 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 164424636.

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 11 ways as a sum of consecutive naturals, for example, 1195 + ... + 18173.

It is an arithmetic number, because the mean of its divisors is an integer number (11588850).

Almost surely, 2164424636 is an apocalyptic number.

It is an amenable number.

164424636 is an abundant number, since it is smaller than the sum of its proper divisors (252773964).

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

164424636 is a wasteful number, since it uses less digits than its factorization.

164424636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17258 (or 17253 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 164424636 is about 12822.8170071946. The cubic root of 164424636 is about 547.8423854529.

The spelling of 164424636 in words is "one hundred sixty-four million, four hundred twenty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 269 538 807 1076 1614 2421 3228 4842 9684 16979 33958 50937 67916 101874 152811 203748 305622 611244 4567351 9134702 13702053 18269404 27404106 41106159 54808212 82212318 164424636