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5385938058 = 2322915496661
BaseRepresentation
bin1010000010000011…
…01110010010001010
3111220100121000001100
411001001232102022
542012300004213
62250235202230
7250316501214
oct50101562212
914810530040
105385938058
112314248a86
1210638a6376
1367aab87c7
143914455b4
15217c8d773
hex14106e48a

5385938058 has 48 divisors (see below), whose sum is σ = 12081537000. Its totient is φ = 1732026240.

The previous prime is 5385938057. The next prime is 5385938071. The reversal of 5385938058 is 8508395835.

5385938058 is a `hidden beast` number, since 538 + 59 + 3 + 8 + 0 + 58 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5187888729 + 198049329 = 72027^2 + 14073^2 .

It is a super-3 number, since 3×53859380583 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5385937995 and 5385938013.

It is not an unprimeable number, because it can be changed into a prime (5385938057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805248 + ... + 811908.

Almost surely, 25385938058 is an apocalyptic number.

5385938058 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

5385938058 is an abundant number, since it is smaller than the sum of its proper divisors (6695598942).

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

5385938058 is a wasteful number, since it uses less digits than its factorization.

5385938058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8247 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The square root of 5385938058 is about 73388.9505170908. The cubic root of 5385938058 is about 1752.8864536570.

The spelling of 5385938058 in words is "five billion, three hundred eighty-five million, nine hundred thirty-eight thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 1549 3098 4647 6661 9294 13322 13941 19983 27882 39966 44921 59949 89842 119898 134763 193169 269526 386338 404289 579507 808578 1159014 1738521 3477042 10317889 20635778 30953667 61907334 92861001 185722002 299218781 598437562 897656343 1795312686 2692969029 5385938058