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468906 = 23312521
BaseRepresentation
bin1110010011110101010
3212211012220
41302132222
5110001111
614014510
73662034
oct1623652
9784186
10468906
112a0329
121a7436
13135579
14c2c54
1593e06
hex727aa

468906 has 16 divisors (see below), whose sum is σ = 968448. Its totient is φ = 151200.

The previous prime is 468899. The next prime is 468913. The reversal of 468906 is 609864.

It is an interprime number because it is at equal distance from previous prime (468899) and next prime (468913).

It is a Curzon number.

It is a plaindrome in base 13.

It is a zygodrome in base 5.

It is an unprimeable number.

468906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1075 + ... + 1446.

It is an arithmetic number, because the mean of its divisors is an integer number (60528).

2468906 is an apocalyptic number.

468906 is an abundant number, since it is smaller than the sum of its proper divisors (499542).

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

468906 is a wasteful number, since it uses less digits than its factorization.

468906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 468906 is about 684.7671136963. The cubic root of 468906 is about 77.6894290846.

The spelling of 468906 in words is "four hundred sixty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 31 62 93 186 2521 5042 7563 15126 78151 156302 234453 468906