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811896984 = 2332971011151
BaseRepresentation
bin110000011001001…
…001000010011000
32002120201122021200
4300121021002120
53130321200414
6212321434200
726056003413
oct6031110230
92076648250
10811896984
11387327248
121a7a9b960
13cc28a022
1479b84b7a
154b427109
hex30649098

811896984 has 96 divisors (see below), whose sum is σ = 2245501440. Its totient is φ = 264960000.

The previous prime is 811896979. The next prime is 811897001. The reversal of 811896984 is 489698118.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 811896984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704809 + ... + 705959.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640).

Almost surely, 2811896984 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 811896984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122750720).

811896984 is an abundant number, since it is smaller than the sum of its proper divisors (1433604456).

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

811896984 is a wasteful number, since it uses less digits than its factorization.

811896984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1354 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 811896984 is about 28493.8060637746. The cubic root of 811896984 is about 932.8968844867.

The spelling of 811896984 in words is "eight hundred eleven million, eight hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 101 194 202 291 303 388 404 582 606 776 808 873 909 1151 1164 1212 1746 1818 2302 2328 2424 3453 3492 3636 4604 6906 6984 7272 9208 9797 10359 13812 19594 20718 27624 29391 39188 41436 58782 78376 82872 88173 111647 116251 117564 176346 223294 232502 235128 334941 348753 352692 446588 465004 669882 697506 705384 893176 930008 1004823 1046259 1339764 1395012 2009646 2092518 2679528 2790024 4019292 4185036 8038584 8370072 11276347 22552694 33829041 45105388 67658082 90210776 101487123 135316164 202974246 270632328 405948492 811896984