Search a number
-
+
828940956 = 223611398147
BaseRepresentation
bin110001011010001…
…010001010011100
32010202210120012220
4301122022022130
53144202102311
6214131025340
726353611324
oct6132121234
92122716186
10828940956
11395a08678
121b173b250
13102976b0c
147c140284
154cb92206
hex3168a29c

828940956 has 48 divisors (see below), whose sum is σ = 1980289920. Its totient is φ = 269795520.

The previous prime is 828940921. The next prime is 828940991. The reversal of 828940956 is 659049828.

It is an interprime number because it is at equal distance from previous prime (828940921) and next prime (828940991).

It is a junction number, because it is equal to n+sod(n) for n = 828940899 and 828940908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97675 + ... + 105821.

It is an arithmetic number, because the mean of its divisors is an integer number (41256040).

Almost surely, 2828940956 is an apocalyptic number.

It is an amenable number.

828940956 is an abundant number, since it is smaller than the sum of its proper divisors (1151348964).

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

828940956 is a wasteful number, since it uses less digits than its factorization.

828940956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8354 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 828940956 is about 28791.3347380770. The cubic root of 828940956 is about 939.3797613535.

The spelling of 828940956 in words is "eight hundred twenty-eight million, nine hundred forty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 61 122 139 183 244 278 366 417 556 732 834 1668 8147 8479 16294 16958 24441 25437 32588 33916 48882 50874 97764 101748 496967 993934 1132433 1490901 1987868 2264866 2981802 3397299 4529732 5963604 6794598 13589196 69078413 138156826 207235239 276313652 414470478 828940956