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6484968 = 233374289
BaseRepresentation
bin11000101111001111101000
3110012110201000
4120233033220
53130004333
6350555000
7106056420
oct30571750
913173630
106484968
11372a286
122208a60
131460979
14c0b480
15881713
hex62f3e8

6484968 has 64 divisors (see below), whose sum is σ = 20592000. Its totient is φ = 1852416.

The previous prime is 6484931. The next prime is 6484979. The reversal of 6484968 is 8694846.

It is a happy number.

It is a super-2 number, since 2×64849682 = 84109619922048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 633 + ... + 3656.

It is an arithmetic number, because the mean of its divisors is an integer number (321750).

Almost surely, 26484968 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 6484968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10296000).

6484968 is an abundant number, since it is smaller than the sum of its proper divisors (14107032).

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

6484968 is a wasteful number, since it uses less digits than its factorization.

6484968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4301 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 6484968 is about 2546.5600326715. The cubic root of 6484968 is about 186.4815824184.

The spelling of 6484968 in words is "six million, four hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 4289 8578 12867 17156 25734 30023 34312 38601 51468 60046 77202 90069 102936 115803 120092 154404 180138 231606 240184 270207 308808 360276 463212 540414 720552 810621 926424 1080828 1621242 2161656 3242484 6484968