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806276025 = 34526312
BaseRepresentation
bin110000000011101…
…100101110111001
32002012011001210000
4300003230232321
53122401313100
6212001143213
725660142652
oct6003545671
92065131700
10806276025
11384138125
121a602ab09
13cb06c709
1479120529
154abb6900
hex300ecbb9

806276025 has 45 divisors (see below), whose sum is σ = 1495872543. Its totient is φ = 429332400.

The previous prime is 806275999. The next prime is 806276041. The reversal of 806276025 is 520672608.

The square root of 806276025 is 28395.

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

806276025 is a `hidden beast` number, since 8 + 0 + 627 + 6 + 0 + 25 = 666.

806276025 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 only one way, i.e., 290259369 + 516016656 = 17037^2 + 22716^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 806276025 - 29 = 806275513 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1277460 + ... + 1278090.

Almost surely, 2806276025 is an apocalyptic number.

806276025 is the 28395-th square number.

806276025 is the 14198-th centered octagonal number.

It is an amenable number.

806276025 is a deficient number, since it is larger than the sum of its proper divisors (689596518).

806276025 is an frugal number, since it uses more digits than its factorization.

806276025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The cubic root of 806276025 is about 930.7390067795.

Multiplying 806276025 by its sum of digits (36), we get a square (29025936900 = 1703702).

The spelling of 806276025 in words is "eight hundred six million, two hundred seventy-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 631 675 1893 2025 3155 5679 9465 15775 17037 28395 47325 51111 85185 141975 255555 398161 425925 1194483 1277775 1990805 3583449 5972415 9954025 10750347 17917245 29862075 32251041 53751735 89586225 161255205 268758675 806276025