Search a number
-
+
855808128 = 27327215161
BaseRepresentation
bin110011000000101…
…001100010000000
32012122100120001100
4303000221202000
53223041330003
6220530534400
730131151300
oct6300514200
92178316040
10855808128
113aa09934a
121ba737400
131083c2b56
1481935600
15501ecba3
hex33029880

855808128 has 144 divisors (see below), whose sum is σ = 2864935710. Its totient is φ = 244500480.

The previous prime is 855808097. The next prime is 855808141. The reversal of 855808128 is 821808558.

It can be written as a sum of positive squares in only one way, i.e., 713530944 + 142277184 = 26712^2 + 11928^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48868 + ... + 64028.

Almost surely, 2855808128 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 855808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432467855).

855808128 is an abundant number, since it is smaller than the sum of its proper divisors (2009127582).

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

855808128 is a wasteful number, since it uses less digits than its factorization.

855808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15195 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 855808128 is about 29254.1984679123. The cubic root of 855808128 is about 949.4209316830.

The spelling of 855808128 in words is "eight hundred fifty-five million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 15161 18816 28224 30322 45483 56448 60644 90966 106127 121288 136449 181932 212254 242576 272898 318381 363864 424508 485152 545796 636762 727728 742889 849016 955143 970304 1091592 1273524 1455456 1485778 1698032 1910286 1940608 2183184 2228667 2547048 2910912 2971556 3396064 3820572 4366368 4457334 5094096 5821824 5943112 6686001 6792128 7641144 8732736 8914668 10188192 11886224 13372002 13584256 15282288 17465472 17829336 20376384 23772448 26744004 30564576 35658672 40752768 47544896 53488008 61129152 71317344 95089792 106976016 122258304 142634688 213952032 285269376 427904064 855808128