Search a number
-
+
879428256 = 253710091297
BaseRepresentation
bin110100011010110…
…000001010100000
32021021210120202220
4310122300022200
53300113201011
6223133111040
730536005530
oct6432601240
92237716686
10879428256
11411461513
12206628480
13110272c65
1484b234c0
1552316506
hex346b02a0

879428256 has 96 divisors (see below), whose sum is σ = 2642935680. Its totient is φ = 250822656.

The previous prime is 879428227. The next prime is 879428257. The reversal of 879428256 is 652824978.

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

It is a junction number, because it is equal to n+sod(n) for n = 879428199 and 879428208.

It is not an unprimeable number, because it can be changed into a prime (879428257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677400 + ... + 678696.

It is an arithmetic number, because the mean of its divisors is an integer number (27530580).

Almost surely, 2879428256 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 879428256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321467840).

879428256 is an abundant number, since it is smaller than the sum of its proper divisors (1763507424).

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

879428256 is a wasteful number, since it uses less digits than its factorization.

879428256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2318 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 879428256 is about 29655.1556394499. The cubic root of 879428256 is about 958.0763911812.

The spelling of 879428256 in words is "eight hundred seventy-nine million, four hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1009 1297 2018 2594 3027 3891 4036 5188 6054 7063 7782 8072 9079 10376 12108 14126 15564 16144 18158 20752 21189 24216 27237 28252 31128 32288 36316 41504 42378 48432 54474 56504 62256 72632 84756 96864 108948 113008 124512 145264 169512 217896 226016 290528 339024 435792 678048 871584 1308673 2617346 3926019 5234692 7852038 9160711 10469384 15704076 18321422 20938768 27482133 31408152 36642844 41877536 54964266 62816304 73285688 109928532 125632608 146571376 219857064 293142752 439714128 879428256