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2852087238 = 23272111322613
BaseRepresentation
bin1010100111111111…
…0110010111000110
321100202201001011200
42221333312113012
521320113242423
61151002043330
7130451225100
oct25177662706
97322631150
102852087238
111233a243a0
126771a9546
13365b666b0
141d0b02570
1511a5c7d43
hexa9ff65c6

2852087238 has 144 divisors (see below), whose sum is σ = 8445514896. Its totient is φ = 683786880.

The previous prime is 2852087221. The next prime is 2852087291. The reversal of 2852087238 is 8327802582.

2852087238 is a `hidden beast` number, since 28 + 520 + 8 + 72 + 38 = 666.

It is a super-2 number, since 2×28520872382 = 16268803226324937288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2852087193 and 2852087202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114820 + ... + 137432.

It is an arithmetic number, because the mean of its divisors is an integer number (58649409).

Almost surely, 22852087238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852087238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222757448).

2852087238 is an abundant number, since it is smaller than the sum of its proper divisors (5593427658).

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

2852087238 is a wasteful number, since it uses less digits than its factorization.

2852087238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22659 (or 22649 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2852087238 is about 53404.9364572228. The cubic root of 2852087238 is about 1418.1459698689.

The spelling of 2852087238 in words is "two billion, eight hundred fifty-two million, eighty-seven thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 49 63 66 77 78 91 98 99 117 126 143 147 154 182 198 231 234 273 286 294 429 441 462 539 546 637 693 819 858 882 1001 1078 1274 1287 1386 1617 1638 1911 2002 2574 3003 3234 3822 4851 5733 6006 7007 9009 9702 11466 14014 18018 21021 22613 42042 45226 63063 67839 126126 135678 158291 203517 248743 293969 316582 407034 474873 497486 587938 746229 881907 949746 1108037 1424619 1492458 1741201 1763814 2057783 2216074 2238687 2645721 2849238 3233659 3324111 3482402 4115566 4477374 5223603 5291442 6173349 6467318 6648222 9700977 9972333 10447206 12188407 12346698 14404481 15670809 18520047 19401954 19944666 22635613 24376814 28808962 29102931 31341618 36565221 37040094 43213443 45271226 58205862 67906839 73130442 86426886 109695663 129640329 135813678 158449291 203720517 219391326 259280658 316898582 407441034 475347873 950695746 1426043619 2852087238