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608864 = 2553359
BaseRepresentation
bin10010100101001100000
31010221012112
42110221200
5123440424
621014452
75114054
oct2245140
91127175
10608864
113864a3
12254428
13184199
1411bc64
15c060e
hex94a60

608864 has 24 divisors (see below), whose sum is σ = 1224720. Its totient is φ = 297856.

The previous prime is 608863. The next prime is 608873. The reversal of 608864 is 468806.

It is a Harshad number since it is a multiple of its sum of digits (32).

608864 is a modest number, since divided by 864 gives 608 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 608864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (608863) 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, 1517 + ... + 1875.

It is an arithmetic number, because the mean of its divisors is an integer number (51030).

2608864 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 608864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612360).

608864 is an abundant number, since it is smaller than the sum of its proper divisors (615856).

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

608864 is a wasteful number, since it uses less digits than its factorization.

608864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 608864 is about 780.2973792087. The cubic root of 608864 is about 84.7565815467.

The spelling of 608864 in words is "six hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 106 212 359 424 718 848 1436 1696 2872 5744 11488 19027 38054 76108 152216 304432 608864