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813161472 = 21032231187
BaseRepresentation
bin110000011101111…
…101110000000000
32002200002212211120
4300131331300000
53131132131342
6212404512240
726102521104
oct6035756000
92080085746
10813161472
11388010282
121a83ab680
13cc610746
1479dd3904
154b5c6aec
hex3077dc00

813161472 has 88 divisors (see below), whose sum is σ = 2178925056. Its totient is φ = 269611008.

The previous prime is 813161467. The next prime is 813161507. The reversal of 813161472 is 274161318.

It is a super-2 number, since 2×8131614722 = 1322463159090413568, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 684463 + ... + 685649.

It is an arithmetic number, because the mean of its divisors is an integer number (24760512).

Almost surely, 2813161472 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 813161472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089462528).

813161472 is an abundant number, since it is smaller than the sum of its proper divisors (1365763584).

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

813161472 is a wasteful number, since it uses less digits than its factorization.

813161472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1415 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 813161472 is about 28515.9862533281. The cubic root of 813161472 is about 933.3809463239.

The spelling of 813161472 in words is "eight hundred thirteen million, one hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 512 669 768 892 1024 1187 1338 1536 1784 2374 2676 3072 3561 3568 4748 5352 7122 7136 9496 10704 14244 14272 18992 21408 28488 28544 37984 42816 56976 57088 75968 85632 113952 114176 151936 171264 227904 228352 264701 303872 342528 455808 529402 607744 685056 794103 911616 1058804 1215488 1588206 1823232 2117608 3176412 3646464 4235216 6352824 8470432 12705648 16940864 25411296 33881728 50822592 67763456 101645184 135526912 203290368 271053824 406580736 813161472