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164424833 = 1779191641
BaseRepresentation
bin10011100110011…
…10110010000001
3102110101122110122
421303032302001
5314043043313
624152110025
74034405456
oct1163166201
9373348418
10164424833
11848a48a1
1247095315
13280ac801
1417ba182d
15e67d708
hex9ccec81

164424833 has 16 divisors (see below), whose sum is σ = 177500160. Its totient is φ = 151756800.

The previous prime is 164424811. The next prime is 164424857. The reversal of 164424833 is 338424461.

It is a cyclic number.

It is not a de Polignac number, because 164424833 - 214 = 164408449 is a prime.

It is a super-3 number, since 3×1644248333 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164424793 and 164424802.

It is not an unprimeable number, because it can be changed into a prime (164424433) 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 15 ways as a sum of consecutive naturals, for example, 256193 + ... + 256833.

It is an arithmetic number, because the mean of its divisors is an integer number (11093760).

Almost surely, 2164424833 is an apocalyptic number.

It is an amenable number.

164424833 is a deficient number, since it is larger than the sum of its proper divisors (13075327).

164424833 is a wasteful number, since it uses less digits than its factorization.

164424833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its digits is 55296, while the sum is 35.

The square root of 164424833 is about 12822.8246888117. The cubic root of 164424833 is about 547.8426042459.

The spelling of 164424833 in words is "one hundred sixty-four million, four hundred twenty-four thousand, eight hundred thirty-three".

Divisors: 1 17 79 191 641 1343 3247 10897 15089 50639 122431 256513 860863 2081327 9672049 164424833