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545596164 = 22321722292
BaseRepresentation
bin100000100001010…
…010001100000100
31102000122011020100
4200201102030010
52104133034124
6130050004100
716343330241
oct4041221404
91360564210
10545596164
1125aa7a523
12132876630
138905ab89
14526645c8
1532d731c9
hex20852304

545596164 has 81 divisors (see below), whose sum is σ = 1471469727. Its totient is φ = 170419968.

The previous prime is 545596159. The next prime is 545596193. The reversal of 545596164 is 461695545.

The square root of 545596164 is 23358.

It is a perfect power (a square), and thus also a powerful number.

545596164 is a `hidden beast` number, since 5 + 45 + 596 + 16 + 4 = 666.

545596164 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 289340100 + 256256064 = 17010^2 + 16008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2382402 + ... + 2382630.

Almost surely, 2545596164 is an apocalyptic number.

545596164 is the 23358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545596164

545596164 is an abundant number, since it is smaller than the sum of its proper divisors (925873563).

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

545596164 is a wasteful number, since it uses less digits than its factorization.

545596164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The cubic root of 545596164 is about 817.1286465315.

The spelling of 545596164 in words is "five hundred forty-five million, five hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 229 289 306 458 578 612 687 867 916 1156 1374 1734 2061 2601 2748 3468 3893 4122 5202 7786 8244 10404 11679 15572 23358 35037 46716 52441 66181 70074 104882 132362 140148 157323 198543 209764 264724 314646 397086 471969 595629 629292 794172 891497 943938 1191258 1782994 1887876 2382516 2674491 3565988 5348982 8023473 10697964 15155449 16046946 30310898 32093892 45466347 60621796 90932694 136399041 181865388 272798082 545596164