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826650968 = 2311135871231
BaseRepresentation
bin110001010001011…
…011000101011000
32010121111012221112
4301101123011120
53143110312333
6214005555452
726325263063
oct6121330530
92117435845
10826650968
11394694120
121b0a15b88
131023546b0
147bb058da
154c88d948
hex3145b158

826650968 has 64 divisors (see below), whose sum is σ = 1825528320. Its totient is φ = 345974400.

The previous prime is 826650953. The next prime is 826650971. The reversal of 826650968 is 869056628.

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, 670913 + ... + 672143.

It is an arithmetic number, because the mean of its divisors is an integer number (28523880).

Almost surely, 2826650968 is an apocalyptic number.

826650968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826650968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912764160).

826650968 is an abundant number, since it is smaller than the sum of its proper divisors (998877352).

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

826650968 is a wasteful number, since it uses less digits than its factorization.

826650968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 50.

The square root of 826650968 is about 28751.5385327464. The cubic root of 826650968 is about 938.5139367886.

The spelling of 826650968 in words is "eight hundred twenty-six million, six hundred fifty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 587 1144 1174 1231 2348 2462 4696 4924 6457 7631 9848 12914 13541 15262 16003 25828 27082 30524 32006 51656 54164 61048 64012 83941 108328 128024 167882 176033 335764 352066 671528 704132 722597 1408264 1445194 2890388 5780776 7948567 9393761 15897134 18787522 31794268 37575044 63588536 75150088 103331371 206662742 413325484 826650968