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6426225 = 3252134
BaseRepresentation
bin11000100000111001110001
3110002111010100
4120200321301
53121114400
6345423013
7105423231
oct30407161
913074110
106426225
11369a133
12219aa69
131440000
14bd3cc1
1586e100
hex620e71

6426225 has 45 divisors (see below), whose sum is σ = 12469223. Its totient is φ = 3163680.

The previous prime is 6426181. The next prime is 6426227. The reversal of 6426225 is 5226246.

The square root of 6426225 is 2535.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6305121 + 121104 = 2511^2 + 348^2 .

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

It is not a de Polignac number, because 6426225 - 211 = 6424177 is a prime.

It is a d-powerful number, because it can be written as 6 + 44 + 214 + 6 + 218 + 222 + 59 .

It is not an unprimeable number, because it can be changed into a prime (6426227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 494319 + ... + 494331.

Almost surely, 26426225 is an apocalyptic number.

6426225 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6426225 is the 2535-th square number.

6426225 is the 1268-th centered octagonal number.

It is an amenable number.

6426225 is a deficient number, since it is larger than the sum of its proper divisors (6042998).

6426225 is an equidigital number, since it uses as much as digits as its factorization.

6426225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The cubic root of 6426225 is about 185.9168028889.

It can be divided in two parts, 6426 and 225, that multiplied together give a triangular number (1445850 = T1700).

The spelling of 6426225 in words is "six million, four hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2197 2535 2925 4225 6591 7605 10985 12675 19773 28561 32955 38025 54925 85683 98865 142805 164775 257049 428415 494325 714025 1285245 2142075 6426225