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542946564 = 2235558587
BaseRepresentation
bin100000010111001…
…011010100000100
31101211122112200000
4200113023110010
52102443242224
6125513121300
716311653406
oct4027132404
91354575600
10542946564
1125952a876
121319b9230
1388640b74
1452174b76
15329ed0c9
hex205cb504

542946564 has 36 divisors (see below), whose sum is σ = 1423282224. Its totient is φ = 180981864.

The previous prime is 542946563. The next prime is 542946571. The reversal of 542946564 is 465649245.

542946564 is a `hidden beast` number, since 5 + 42 + 9 + 46 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (542946563) 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 11 ways as a sum of consecutive naturals, for example, 278322 + ... + 280265.

Almost surely, 2542946564 is an apocalyptic number.

542946564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

542946564 is an abundant number, since it is smaller than the sum of its proper divisors (880335660).

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

542946564 is a wasteful number, since it uses less digits than its factorization.

542946564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558606 (or 558592 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 542946564 is about 23301.2137881270. The cubic root of 542946564 is about 815.8037482195.

The spelling of 542946564 in words is "five hundred forty-two million, nine hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 558587 1117174 1675761 2234348 3351522 5027283 6703044 10054566 15081849 20109132 30163698 45245547 60327396 90491094 135736641 180982188 271473282 542946564