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5828205006 = 23213127196117
BaseRepresentation
bin1010110110110001…
…10101100111001110
3120001011210111020200
411123120311213032
543414010030011
62402154354330
7264266632221
oct53330654716
916034714220
105828205006
112520962758
121167a2b9a6
1371b608720
143d408d5b8
15241a00856
hex15b6359ce

5828205006 has 48 divisors (see below), whose sum is σ = 13706294784. Its totient is φ = 1779164352.

The previous prime is 5828204959. The next prime is 5828205007. The reversal of 5828205006 is 6005028285.

5828205006 is a `hidden beast` number, since 582 + 8 + 20 + 50 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5828205007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68341 + ... + 127776.

It is an arithmetic number, because the mean of its divisors is an integer number (285547808).

Almost surely, 25828205006 is an apocalyptic number.

5828205006 is an abundant number, since it is smaller than the sum of its proper divisors (7878089778).

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

5828205006 is a wasteful number, since it uses less digits than its factorization.

5828205006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196265 (or 196262 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5828205006 is about 76342.6814174090. The cubic root of 5828205006 is about 1799.6094838008.

The spelling of 5828205006 in words is "five billion, eight hundred twenty-eight million, two hundred five thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 2286 3302 4953 9906 14859 29718 196117 392234 588351 1176702 1765053 2549521 3530106 5099042 7648563 15297126 22945689 24906859 45891378 49813718 74720577 149441154 224161731 323789167 448323462 647578334 971367501 1942735002 2914102503 5828205006