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164805444 = 22324577929
BaseRepresentation
bin10011101001010…
…11101101000100
3102111002222120100
421310223231010
5314142233234
624204204100
74040552226
oct1164535504
9374088510
10164805444
1185034851
1247239630
13281b3b1b
1417c60416
15e706399
hex9d2bb44

164805444 has 18 divisors (see below), whose sum is σ = 416591630. Its totient is φ = 54935136.

The previous prime is 164805439. The next prime is 164805481. The reversal of 164805444 is 444508461.

It is a happy number.

164805444 is a `hidden beast` number, since 1 + 648 + 0 + 5 + 4 + 4 + 4 = 666.

164805444 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 136609344 + 28196100 = 11688^2 + 5310^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4577929 = 164805444 / (1 + 6 + 4 + 8 + 0 + 5 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 164805399 and 164805408.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2288929 + ... + 2289000.

Almost surely, 2164805444 is an apocalyptic number.

It is an amenable number.

164805444 is an abundant number, since it is smaller than the sum of its proper divisors (251786186).

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

164805444 is a wasteful number, since it uses less digits than its factorization.

164805444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577939 (or 4577934 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 164805444 is about 12837.6572629121. The cubic root of 164805444 is about 548.2649942907.

The spelling of 164805444 in words is "one hundred sixty-four million, eight hundred five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4577929 9155858 13733787 18311716 27467574 41201361 54935148 82402722 164805444