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812763081 = 32132172432
BaseRepresentation
bin110000011100011…
…100011111001001
32002122100122100100
4300130130133021
53131031404311
6212352200013
726066241444
oct6034343711
92078318310
10812763081
11387868a29
121a8239009
13cc501300
1479d2c65b
154b548a56
hex3071c7c9

812763081 has 81 divisors (see below), whose sum is σ = 1382558229. Its totient is φ = 459793152.

The previous prime is 812763037. The next prime is 812763143. The reversal of 812763081 is 180367218.

The square root of 812763081 is 28509.

It is a perfect power (a square), and thus also a powerful number.

812763081 is a `hidden beast` number, since 8 + 12 + 7 + 630 + 8 + 1 = 666.

812763081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7338681 + 805424400 = 2709^2 + 28380^2 .

It is not a de Polignac number, because 812763081 - 27 = 812762953 is a prime.

It is a super-2 number, since 2×8127630812 = 1321167651673225122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (812763181) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18901446 + ... + 18901488.

Almost surely, 2812763081 is an apocalyptic number.

812763081 is the 28509-th square number.

812763081 is the 14255-th centered octagonal number.

It is an amenable number.

812763081 is a deficient number, since it is larger than the sum of its proper divisors (569795148).

812763081 is a wasteful number, since it uses less digits than its factorization.

812763081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 812763081 is about 933.2284914406.

Multiplying 812763081 by its sum of digits (36), we get a square (29259470916 = 1710542).

The spelling of 812763081 in words is "eight hundred twelve million, seven hundred sixty-three thousand, eighty-one".

Divisors: 1 3 9 13 17 39 43 51 117 129 153 169 221 289 387 507 559 663 731 867 1521 1677 1849 1989 2193 2601 2873 3757 5031 5547 6579 7267 8619 9503 11271 12427 16641 21801 24037 25857 28509 31433 33813 37281 48841 65403 72111 85527 94299 111843 123539 146523 161551 216333 282897 312481 370617 408629 439569 484653 534361 937443 1111851 1225887 1453959 1603083 2100163 2812329 3677661 4809249 5312177 6300489 6946693 15936531 18901467 20840079 47809593 62520237 90307009 270921027 812763081