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8030825 = 5211192953
BaseRepresentation
bin11110101000101001101001
3120010000012222
4132220221221
54023441300
6444043425
7125155325
oct36505151
916100188
108030825
114595750
122833575
13188248a
1410d0985
15a89785
hex7a8a69

8030825 has 48 divisors (see below), whose sum is σ = 12052800. Its totient is φ = 5241600.

The previous prime is 8030819. The next prime is 8030849. The reversal of 8030825 is 5280308.

8030825 = T235 + T236 + ... + T393.

It is not a de Polignac number, because 8030825 - 26 = 8030761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8030794 and 8030803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151499 + ... + 151551.

It is an arithmetic number, because the mean of its divisors is an integer number (251100).

Almost surely, 28030825 is an apocalyptic number.

It is an amenable number.

8030825 is a deficient number, since it is larger than the sum of its proper divisors (4021975).

8030825 is a wasteful number, since it uses less digits than its factorization.

8030825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 8030825 is about 2833.8710274111. The cubic root of 8030825 is about 200.2565457806.

The spelling of 8030825 in words is "eight million, thirty thousand, eight hundred twenty-five".

Divisors: 1 5 11 19 25 29 53 55 95 145 209 265 275 319 475 551 583 725 1007 1045 1325 1537 1595 2755 2915 5035 5225 6061 7685 7975 11077 13775 14575 16907 25175 29203 30305 38425 55385 84535 146015 151525 276925 321233 422675 730075 1606165 8030825