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2852813088 = 253315721031
BaseRepresentation
bin1010101000001010…
…0111100100100000
321100211001220212000
42222002213210200
521320310004323
61151025404000
7130460340216
oct25202474440
97324056760
102852813088
11123437a774
12677499600
1336605bba8
141d0c50cb6
1511a6bce43
hexaa0a7920

2852813088 has 96 divisors (see below), whose sum is σ = 8374101120. Its totient is φ = 944835840.

The previous prime is 2852813011. The next prime is 2852813101. The reversal of 2852813088 is 8803182582.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125133 + ... + 146163.

It is an arithmetic number, because the mean of its divisors is an integer number (87230220).

Almost surely, 22852813088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852813088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187050560).

2852813088 is an abundant number, since it is smaller than the sum of its proper divisors (5521288032).

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

2852813088 is a wasteful number, since it uses less digits than its factorization.

2852813088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21207 (or 21193 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 2852813088 is about 53411.7317450015. The cubic root of 2852813088 is about 1418.2662646864.

It can be divided in two parts, 285281 and 3088, that added together give a square (288369 = 5372).

The spelling of 2852813088 in words is "two billion, eight hundred fifty-two million, eight hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 157 216 288 314 432 471 628 864 942 1256 1413 1884 2512 2826 3768 4239 5024 5652 7536 8478 11304 15072 16956 21031 22608 33912 42062 45216 63093 67824 84124 126186 135648 168248 189279 252372 336496 378558 504744 567837 672992 757116 1009488 1135674 1514232 2018976 2271348 3028464 3301867 4542696 6056928 6603734 9085392 9905601 13207468 18170784 19811202 26414936 29716803 39622404 52829872 59433606 79244808 89150409 105659744 118867212 158489616 178300818 237734424 316979232 356601636 475468848 713203272 950937696 1426406544 2852813088