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164152362 = 231119791657
BaseRepresentation
bin10011100100011…
…00010000101010
3102102212210201010
421302030100222
5314010333422
624142204350
74032162213
oct1162142052
9372783633
10164152362
1184729110
1246b836b6
132801579a
1417b3040a
15e627b0c
hex9c8c42a

164152362 has 64 divisors (see below), whose sum is σ = 382003200. Its totient is φ = 46500480.

The previous prime is 164152361. The next prime is 164152369. The reversal of 164152362 is 263251461.

164152362 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164152361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 98238 + ... + 99894.

It is an arithmetic number, because the mean of its divisors is an integer number (5968800).

Almost surely, 2164152362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164152362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191001600).

164152362 is an abundant number, since it is smaller than the sum of its proper divisors (217850838).

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

164152362 is a wasteful number, since it uses less digits than its factorization.

164152362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771.

The product of its digits is 8640, while the sum is 30.

The square root of 164152362 is about 12812.1958305358. The cubic root of 164152362 is about 547.5398240459.

Subtracting 164152362 from its reverse (263251461), we obtain a palindrome (99099099).

The spelling of 164152362 in words is "one hundred sixty-four million, one hundred fifty-two thousand, three hundred sixty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 79 114 158 209 237 418 474 627 869 1254 1501 1657 1738 2607 3002 3314 4503 4971 5214 9006 9942 16511 18227 31483 33022 36454 49533 54681 62966 94449 99066 109362 130903 188898 261806 346313 392709 692626 785418 1038939 1439933 2077878 2487157 2879866 4319799 4974314 7461471 8639598 14922942 27358727 54717454 82076181 164152362