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542726717 = 13174189673
BaseRepresentation
bin100000010110010…
…101101000111101
31101211020101002112
4200112111220331
52102414223332
6125504303405
716310046431
oct4026255075
91354211075
10542726717
1125939a685
12131911b65
1388594a90
14521189c1
15329a7db2
hex20595a3d

542726717 has 32 divisors (see below), whose sum is σ = 642025440. Its totient is φ = 454164480.

The previous prime is 542726711. The next prime is 542726741. The reversal of 542726717 is 717627245.

It can be written as a sum of positive squares in 16 ways, for example, as 372528601 + 170198116 = 19301^2 + 13046^2 .

It is a cyclic number.

It is not a de Polignac number, because 542726717 - 216 = 542661181 is a prime.

It is a super-3 number, since 3×5427267173 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542726711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806093 + ... + 806765.

It is an arithmetic number, because the mean of its divisors is an integer number (20063295).

Almost surely, 2542726717 is an apocalyptic number.

It is an amenable number.

542726717 is a deficient number, since it is larger than the sum of its proper divisors (99298723).

542726717 is a wasteful number, since it uses less digits than its factorization.

542726717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its digits is 164640, while the sum is 41.

The square root of 542726717 is about 23296.4958094560. The cubic root of 542726717 is about 815.6936230670.

The spelling of 542726717 in words is "five hundred forty-two million, seven hundred twenty-six thousand, seven hundred seventeen".

Divisors: 1 13 17 41 89 221 533 673 697 1157 1513 3649 8749 9061 11441 19669 27593 47437 59897 62033 148733 358709 469081 778661 806429 1018249 2455777 6098053 13237237 31925101 41748209 542726717