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164289465 = 3452331741
BaseRepresentation
bin10011100101011…
…01101110111001
3102110010202210000
421302231232321
5314024230330
624145143213
74033303014
oct1162555671
9373122700
10164289465
118481211a
124702ab09
1328063002
1417b6837b
15e653560
hex9cadbb9

164289465 has 40 divisors (see below), whose sum is σ = 295937928. Its totient is φ = 87194880.

The previous prime is 164289451. The next prime is 164289469. The reversal of 164289465 is 564982461.

164289465 is a `hidden beast` number, since 164 + 28 + 9 + 465 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7338681 + 156950784 = 2709^2 + 12528^2 .

It is not a de Polignac number, because 164289465 - 26 = 164289401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 164289465.

It is not an unprimeable number, because it can be changed into a prime (164289469) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 93495 + ... + 95235.

Almost surely, 2164289465 is an apocalyptic number.

164289465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164289465 is a deficient number, since it is larger than the sum of its proper divisors (131648463).

164289465 is a wasteful number, since it uses less digits than its factorization.

164289465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1982 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 164289465 is about 12817.5452017927. The cubic root of 164289465 is about 547.6922199898.

The spelling of 164289465 in words is "one hundred sixty-four million, two hundred eighty-nine thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 233 405 699 1165 1741 2097 3495 5223 6291 8705 10485 15669 18873 26115 31455 47007 78345 94365 141021 235035 405653 705105 1216959 2028265 3650877 6084795 10952631 18254385 32857893 54763155 164289465