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542965842 = 23497109317
BaseRepresentation
bin100000010111010…
…000000001010010
31101211200112010000
4200113100001102
52102444401332
6125513350430
716312063536
oct4027200122
91354615100
10542965842
11259543301
12131a08416
1388649883
145217bbc6
1532a03b7c
hex205d0052

542965842 has 80 divisors (see below), whose sum is σ = 1244378520. Its totient is φ = 176919552.

The previous prime is 542965777. The next prime is 542965847. The reversal of 542965842 is 248569245.

542965842 is a `hidden beast` number, since 542 + 9 + 65 + 8 + 42 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 374770881 + 168194961 = 19359^2 + 12969^2 .

It is not an unprimeable number, because it can be changed into a prime (542965847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1712668 + ... + 1712984.

Almost surely, 2542965842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542965842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622189260).

542965842 is an abundant number, since it is smaller than the sum of its proper divisors (701412678).

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

542965842 is a wasteful number, since it uses less digits than its factorization.

542965842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 542965842 is about 23301.6274538926. The cubic root of 542965842 is about 815.8134034843.

The spelling of 542965842 in words is "five hundred forty-two million, nine hundred sixty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 97 109 162 194 218 291 317 327 582 634 654 873 951 981 1746 1902 1962 2619 2853 2943 5238 5706 5886 7857 8559 8829 10573 15714 17118 17658 21146 25677 30749 31719 34553 51354 61498 63438 69106 92247 95157 103659 184494 190314 207318 276741 285471 310977 553482 570942 621954 830223 856413 932931 1660446 1712826 1865862 2490669 2798793 3351641 4981338 5597586 6703282 10054923 20109846 30164769 60329538 90494307 180988614 271482921 542965842