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6468832 = 25316521
BaseRepresentation
bin11000101011010011100000
3110011122120101
4120223103200
53124000312
6350352144
7105661366
oct30532340
913148511
106468832
113719147
1221bb654
131456516
14c05636
1587ba57
hex62b4e0

6468832 has 24 divisors (see below), whose sum is σ = 13148352. Its totient is φ = 3129600.

The previous prime is 6468829. The next prime is 6468851. The reversal of 6468832 is 2388646.

It is a junction number, because it is equal to n+sod(n) for n = 6468791 and 6468800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2269 + ... + 4252.

It is an arithmetic number, because the mean of its divisors is an integer number (547848).

Almost surely, 26468832 is an apocalyptic number.

6468832 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6468832 is an abundant number, since it is smaller than the sum of its proper divisors (6679520).

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

6468832 is a wasteful number, since it uses less digits than its factorization.

6468832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562 (or 6554 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 6468832 is about 2543.3898639414. The cubic root of 6468832 is about 186.3267851495.

The spelling of 6468832 in words is "six million, four hundred sixty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 6521 13042 26084 52168 104336 202151 208672 404302 808604 1617208 3234416 6468832