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542366541 = 3267899447
BaseRepresentation
bin100000010100111…
…101101101001101
31101210120002000200
4200110331231031
52102321212131
6125452444113
716304016363
oct4024755515
91353502020
10542366541
11259174012
12131779639
1388499b62
1452063633
15329362e6
hex2053db4d

542366541 has 12 divisors (see below), whose sum is σ = 795112032. Its totient is φ = 356180616.

The previous prime is 542366509. The next prime is 542366549. The reversal of 542366541 is 145663245.

542366541 is a `hidden beast` number, since 54 + 2 + 3 + 66 + 541 = 666.

542366541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 542366541 - 25 = 542366509 is a prime.

It is a super-2 number, since 2×5423665412 = 588322929592609362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542366496 and 542366505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542366549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 449121 + ... + 450326.

It is an arithmetic number, because the mean of its divisors is an integer number (66259336).

Almost surely, 2542366541 is an apocalyptic number.

It is an amenable number.

542366541 is a deficient number, since it is larger than the sum of its proper divisors (252745491).

542366541 is a wasteful number, since it uses less digits than its factorization.

542366541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899520 (or 899517 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 542366541 is about 23288.7642651988. The cubic root of 542366541 is about 815.5131404090.

The spelling of 542366541 in words is "five hundred forty-two million, three hundred sixty-six thousand, five hundred forty-one".

Divisors: 1 3 9 67 201 603 899447 2698341 8095023 60262949 180788847 542366541