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6468264 = 2332118167
BaseRepresentation
bin11000101011001010101000
3110011121210100
4120223022220
53123441024
6350345400
7105656625
oct30531250
913147710
106468264
113718780
1221bb260
13145619a
14c0534c
1587b7c9
hex62b2a8

6468264 has 48 divisors (see below), whose sum is σ = 19113120. Its totient is φ = 1959840.

The previous prime is 6468223. The next prime is 6468269. The reversal of 6468264 is 4628646.

It is a happy number.

6468264 is a `hidden beast` number, since 646 + 8 + 2 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6468269) 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, 3292 + ... + 4875.

It is an arithmetic number, because the mean of its divisors is an integer number (398190).

Almost surely, 26468264 is an apocalyptic number.

It is an amenable number.

6468264 is an abundant number, since it is smaller than the sum of its proper divisors (12644856).

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

6468264 is a wasteful number, since it uses less digits than its factorization.

6468264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8183 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6468264 is about 2543.2781994898. The cubic root of 6468264 is about 186.3213314751.

It can be divided in two parts, 64682 and 64, that added together give a palindrome (64746).

The spelling of 6468264 in words is "six million, four hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 8167 16334 24501 32668 49002 65336 73503 89837 98004 147006 179674 196008 269511 294012 359348 539022 588024 718696 808533 1078044 1617066 2156088 3234132 6468264