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542405145 = 351747167271
BaseRepresentation
bin100000010101000…
…111001000011001
31101210122000222110
4200111013020121
52102323431040
6125453342533
716304240052
oct4025071031
91353560873
10542405145
112591a0017
12131797a49
13884b15b9
1452073729
1532942980
hex20547219

542405145 has 64 divisors (see below), whose sum is σ = 947552256. Its totient is φ = 263900160.

The previous prime is 542405131. The next prime is 542405167. The reversal of 542405145 is 541504245.

It is not a de Polignac number, because 542405145 - 211 = 542403097 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2001360 + ... + 2001630.

It is an arithmetic number, because the mean of its divisors is an integer number (14805504).

Almost surely, 2542405145 is an apocalyptic number.

It is an amenable number.

542405145 is a deficient number, since it is larger than the sum of its proper divisors (405147111).

542405145 is a wasteful number, since it uses less digits than its factorization.

542405145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510.

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 542405145 is about 23289.5930621383. The cubic root of 542405145 is about 815.5324885312.

The spelling of 542405145 in words is "five hundred forty-two million, four hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 15 17 47 51 85 141 167 235 255 271 501 705 799 813 835 1355 2397 2505 2839 3995 4065 4607 7849 8517 11985 12737 13821 14195 23035 23547 38211 39245 42585 45257 63685 69105 117735 133433 135771 191055 216529 226285 400299 649587 667165 678855 769369 1082645 2001495 2127079 2308107 3247935 3846845 6381237 10635395 11540535 31906185 36160343 108481029 180801715 542405145