Search a number
-
+
6386407225 = 5211214532
BaseRepresentation
bin1011111001010100…
…01101011100111001
3121111002011002201221
411330222031130321
5101034410012400
62533414512041
7314155365022
oct57452153471
917432132657
106386407225
112787a62300
1212a2965621
137aa15b3b3
14448275c49
15275a13c1a
hex17ca8d739

6386407225 has 27 divisors (see below), whose sum is σ = 8710509549. Its totient is φ = 4641463200.

The previous prime is 6386407213. The next prime is 6386407283. The reversal of 6386407225 is 5227046836.

The square root of 6386407225 is 79915.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1393006329 + 4993400896 = 37323^2 + 70664^2 .

It is not a de Polignac number, because 6386407225 - 211 = 6386405177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4394599 + ... + 4396051.

Almost surely, 26386407225 is an apocalyptic number.

6386407225 is the 79915-th square number.

6386407225 is the 39958-th centered octagonal number.

It is an amenable number.

6386407225 is a deficient number, since it is larger than the sum of its proper divisors (2324102324).

6386407225 is an equidigital number, since it uses as much as digits as its factorization.

6386407225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The cubic root of 6386407225 is about 1855.3201836136.

The spelling of 6386407225 in words is "six billion, three hundred eighty-six million, four hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1453 3025 7265 15983 36325 79915 175813 399575 879065 2111209 4395325 10556045 23223299 52780225 116116495 255456289 580582475 1277281445 6386407225