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813866772 = 223172331709
BaseRepresentation
bin110000100000101…
…001111100010100
32002201102201022210
4300200221330110
53131322214042
6212431553420
726111516265
oct6040517424
92081381283
10813866772
11388452174
121a868b870
13cc7c9794
147a13896c
154b6b5a9c
hex30829f14

813866772 has 72 divisors (see below), whose sum is σ = 2026249120. Its totient is φ = 254200320.

The previous prime is 813866743. The next prime is 813866791. The reversal of 813866772 is 277668318.

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, 1147554 + ... + 1148262.

Almost surely, 2813866772 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 813866772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013124560).

813866772 is an abundant number, since it is smaller than the sum of its proper divisors (1212382348).

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

813866772 is a wasteful number, since it uses less digits than its factorization.

813866772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1062 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 813866772 is about 28528.3503203392. The cubic root of 813866772 is about 933.6507260110.

The spelling of 813866772 in words is "eight hundred thirteen million, eight hundred sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 289 331 578 662 709 867 993 1156 1324 1418 1734 1986 2127 2836 3468 3972 4254 5627 8508 11254 12053 16881 22508 24106 33762 36159 48212 67524 72318 95659 144636 191318 204901 234679 286977 382636 409802 469358 573954 614703 704037 819604 938716 1147908 1229406 1408074 2458812 2816148 3989543 7979086 11968629 15958172 23937258 47874516 67822231 135644462 203466693 271288924 406933386 813866772