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797038528 = 261113731193
BaseRepresentation
bin101111100000011…
…101011111000000
32001112202202022111
4233200131133000
53113020213103
6211031145104
725515500326
oct5740353700
92045682274
10797038528
113799a8930
121a2b15194
13c9186c40
1477bd7d16
1549e8e86d
hex2f81d7c0

797038528 has 112 divisors (see below), whose sum is σ = 1885163616. Its totient is φ = 329564160.

The previous prime is 797038511. The next prime is 797038531. The reversal of 797038528 is 825830797.

797038528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 667500 + ... + 668692.

It is an arithmetic number, because the mean of its divisors is an integer number (16831818).

Almost surely, 2797038528 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 797038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942581808).

797038528 is an abundant number, since it is smaller than the sum of its proper divisors (1088125088).

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

797038528 is a wasteful number, since it uses less digits than its factorization.

797038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

The square root of 797038528 is about 28231.8707846292. The cubic root of 797038528 is about 927.1708557153.

The spelling of 797038528 in words is "seven hundred ninety-seven million, thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 143 146 176 208 286 292 352 416 572 584 704 803 832 949 1144 1168 1193 1606 1898 2288 2336 2386 3212 3796 4576 4672 4772 6424 7592 9152 9544 10439 12848 13123 15184 15509 19088 20878 25696 26246 30368 31018 38176 41756 51392 52492 60736 62036 76352 83512 87089 104984 124072 167024 170599 174178 209968 248144 334048 341198 348356 419936 496288 668096 682396 696712 839872 957979 992576 1132157 1364792 1393424 1915958 2264314 2729584 2786848 3831916 4528628 5459168 5573696 7663832 9057256 10918336 12453727 15327664 18114512 24907454 30655328 36229024 49814908 61310656 72458048 99629816 199259632 398519264 797038528