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460828 = 22235009
BaseRepresentation
bin1110000100000011100
3212102010201
41300200130
5104221303
613513244
73626344
oct1604034
9772121
10460828
11295255
121a2824
131319a4
14bdd24
159181d
hex7081c

460828 has 12 divisors (see below), whose sum is σ = 841680. Its totient is φ = 220352.

The previous prime is 460813. The next prime is 460829. The reversal of 460828 is 828064.

460828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×4608284 (a number of 24 digits) contains 4444 as substring.

460828 is a modest number, since divided by 828 gives 460 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 460796 and 460805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2413 + ... + 2596.

It is an arithmetic number, because the mean of its divisors is an integer number (70140).

2460828 is an apocalyptic number.

It is an amenable number.

460828 is a deficient number, since it is larger than the sum of its proper divisors (380852).

460828 is a wasteful number, since it uses less digits than its factorization.

460828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 460828 is about 678.8431335736. The cubic root of 460828 is about 77.2407151872.

Subtracting 460828 from its reverse (828064), we obtain a square (367236 = 6062).

The spelling of 460828 in words is "four hundred sixty thousand, eight hundred twenty-eight".

Divisors: 1 2 4 23 46 92 5009 10018 20036 115207 230414 460828