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542311575 = 352131493733
BaseRepresentation
bin100000010100110…
…000010010010111
31101210110021121220
4200110300102113
52102312432300
6125451341423
716303400211
oct4024602227
91353407556
10542311575
11259136793
12131751873
138847ab30
145204b5b1
1532924da0
hex20530497

542311575 has 48 divisors (see below), whose sum is σ = 972333600. Its totient is φ = 265121280.

The previous prime is 542311559. The next prime is 542311579. The reversal of 542311575 is 575113245.

It is not a de Polignac number, because 542311575 - 24 = 542311559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542311579) 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 47 ways as a sum of consecutive naturals, for example, 143409 + ... + 147141.

It is an arithmetic number, because the mean of its divisors is an integer number (20256950).

Almost surely, 2542311575 is an apocalyptic number.

542311575 is a deficient number, since it is larger than the sum of its proper divisors (430022025).

542311575 is a wasteful number, since it uses less digits than its factorization.

542311575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3903 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 542311575 is about 23287.5841383343. The cubic root of 542311575 is about 815.4855901539.

The spelling of 542311575 in words is "five hundred forty-two million, three hundred eleven thousand, five hundred seventy-five".

Divisors: 1 3 5 13 15 25 39 65 75 149 195 325 447 745 975 1937 2235 3725 3733 5811 9685 11175 11199 18665 29055 48425 48529 55995 93325 145275 145587 242645 279975 556217 727935 1213225 1668651 2781085 3639675 7230821 8343255 13905425 21692463 36154105 41716275 108462315 180770525 542311575