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6485472 = 253273217
BaseRepresentation
bin11000101111010111100000
3110012111101200
4120233113200
53130013342
6351001200
7106061040
oct30572740
913174350
106485472
11372a6a4
122209200
131460c76
14c0b720
1588194c
hex62f5e0

6485472 has 72 divisors (see below), whose sum is σ = 21084336. Its totient is φ = 1852416.

The previous prime is 6485461. The next prime is 6485477. The reversal of 6485472 is 2745846.

6485472 is a `hidden beast` number, since 648 + 5 + 4 + 7 + 2 = 666.

6485472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×64854722 = 84122694125568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6485477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408 + ... + 3624.

It is an arithmetic number, because the mean of its divisors is an integer number (292838).

Almost surely, 26485472 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 6485472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10542168).

6485472 is an abundant number, since it is smaller than the sum of its proper divisors (14598864).

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

6485472 is a wasteful number, since it uses less digits than its factorization.

6485472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3229 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 6485472 is about 2546.6589877720. The cubic root of 6485472 is about 186.4864132972.

The spelling of 6485472 in words is "six million, four hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3217 6434 9651 12868 19302 22519 25736 28953 38604 45038 51472 57906 67557 77208 90076 102944 115812 135114 154416 180152 202671 231624 270228 308832 360304 405342 463248 540456 720608 810684 926496 1080912 1621368 2161824 3242736 6485472