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6978225 = 352195983
BaseRepresentation
bin11010100111101010110001
3111010112022210
4122213222301
53241300400
6405322333
7113212452
oct32475261
914115283
106978225
113a36931
1224063a9
1315a4337
14cd9129
1592c950
hex6a7ab1

6978225 has 48 divisors (see below), whose sum is σ = 12499200. Its totient is φ = 3424320.

The previous prime is 6978221. The next prime is 6978227. The reversal of 6978225 is 5228796.

It is a happy number.

It is not a de Polignac number, because 6978225 - 22 = 6978221 is a prime.

It is a d-powerful number, because it can be written as 63 + 97 + 73 + 87 + 214 + 216 + 56 .

6978225 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (6978221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84034 + ... + 84116.

It is an arithmetic number, because the mean of its divisors is an integer number (260400).

Almost surely, 26978225 is an apocalyptic number.

It is an amenable number.

6978225 is a deficient number, since it is larger than the sum of its proper divisors (5520975).

6978225 is a wasteful number, since it uses less digits than its factorization.

6978225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 6978225 is about 2641.6330176616. The cubic root of 6978225 is about 191.0945595029.

The spelling of 6978225 in words is "six million, nine hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 59 75 83 95 177 249 285 295 415 475 885 1121 1245 1425 1475 1577 2075 3363 4425 4731 4897 5605 6225 7885 14691 16815 23655 24485 28025 39425 73455 84075 93043 118275 122425 279129 367275 465215 1395645 2326075 6978225