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6485328 = 2432291553
BaseRepresentation
bin11000101111010101010000
3110012111012100
4120233111100
53130012303
6351000400
7106060443
oct30572520
913174170
106485328
11372a583
122209100
131460b95
14c0b65a
158818a3
hex62f550

6485328 has 60 divisors (see below), whose sum is σ = 18787860. Its totient is φ = 2085888.

The previous prime is 6485291. The next prime is 6485329. The reversal of 6485328 is 8235846.

6485328 is a `hidden beast` number, since 648 + 5 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 4613904 = 1368^2 + 2148^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 68 + 410 + 85 + 53 + 313 + 221 + 85 .

It is a junction number, because it is equal to n+sod(n) for n = 6485292 and 6485301.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3400 + ... + 4952.

It is an arithmetic number, because the mean of its divisors is an integer number (313131).

Almost surely, 26485328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6485328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9393930).

6485328 is an abundant number, since it is smaller than the sum of its proper divisors (12302532).

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

6485328 is a wasteful number, since it uses less digits than its factorization.

6485328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1587 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 6485328 is about 2546.6307152785. The cubic root of 6485328 is about 186.4850330717.

The spelling of 6485328 in words is "six million, four hundred eighty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 1553 2088 3106 4176 4659 6212 9318 12424 13977 18636 24848 27954 37272 45037 55908 74544 90074 111816 135111 180148 223632 270222 360296 405333 540444 720592 810666 1080888 1621332 2161776 3242664 6485328