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6485325 = 3527111123
BaseRepresentation
bin11000101111010101001101
3110012111012020
4120233111031
53130012300
6351000353
7106060440
oct30572515
913174166
106485325
11372a580
1222090b9
131460b92
14c0b657
158818a0
hex62f54d

6485325 has 48 divisors (see below), whose sum is σ = 13380096. Its totient is φ = 2692800.

The previous prime is 6485291. The next prime is 6485329. The reversal of 6485325 is 5235846.

It is not a de Polignac number, because 6485325 - 26 = 6485261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a d-powerful number, because it can be written as 63 + 44 + 87 + 54 + 311 + 222 + 56 .

It is a Curzon number.

6485325 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485329) 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, 5214 + ... + 6336.

It is an arithmetic number, because the mean of its divisors is an integer number (278752).

Almost surely, 26485325 is an apocalyptic number.

It is an amenable number.

6485325 is an abundant number, since it is smaller than the sum of its proper divisors (6894771).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6485325 is a wasteful number, since it uses less digits than its factorization.

6485325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 6485325 is about 2546.6301262649. The cubic root of 6485325 is about 186.4850043167.

The spelling of 6485325 in words is "six million, four hundred eighty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 105 165 175 231 275 385 525 825 1123 1155 1925 3369 5615 5775 7861 12353 16845 23583 28075 37059 39305 61765 84225 86471 117915 185295 196525 259413 308825 432355 589575 926475 1297065 2161775 6485325