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5082800058 = 234710334339
BaseRepresentation
bin1001011101111010…
…10101111110111010
3111010020011222220000
410232331111332322
540402144100213
62200210013430
7236646042030
oct45675257672
914106158800
105082800058
112179120a06
12b9a277276
1363005c5cb
14363096550
151eb35ec73
hex12ef55fba

5082800058 has 80 divisors (see below), whose sum is σ = 13031874240. Its totient is φ = 1450488384.

The previous prime is 5082800017. The next prime is 5082800059. The reversal of 5082800058 is 8500082805.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5082799995 and 5082800031.

It is not an unprimeable number, because it can be changed into a prime (5082800059) 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, 1169253 + ... + 1173591.

It is an arithmetic number, because the mean of its divisors is an integer number (162898428).

Almost surely, 25082800058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5082800058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515937120).

5082800058 is an abundant number, since it is smaller than the sum of its proper divisors (7949074182).

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

5082800058 is a wasteful number, since it uses less digits than its factorization.

5082800058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5384 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5082800058 is about 71293.7588993595. The cubic root of 5082800058 is about 1719.3633909161.

The spelling of 5082800058 in words is "five billion, eighty-two million, eight hundred thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1033 1134 2066 3099 4339 6198 7231 8678 9297 13017 14462 18594 21693 26034 27891 30373 39051 43386 55782 60746 65079 78102 83673 91119 117153 130158 167346 182238 195237 234306 273357 351459 390474 546714 585711 702918 820071 1171422 1640142 2460213 4482187 4920426 8964374 13446561 26893122 31375309 40339683 62750618 80679366 94125927 121019049 188251854 242038098 282377781 363057147 564755562 726114294 847133343 1694266686 2541400029 5082800058