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80608 = 2511229
BaseRepresentation
bin10011101011100000
311002120111
4103223200
510034413
61421104
7454003
oct235340
9132514
1080608
1155620
123a794
132a8c8
142153a
1518d3d
hex13ae0

80608 has 24 divisors (see below), whose sum is σ = 173880. Its totient is φ = 36480.

The previous prime is 80603. The next prime is 80611.

80608 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80603) by changing a digit.

80608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 466.

It is an arithmetic number, because the mean of its divisors is an integer number (7245).

280608 is an apocalyptic number.

80608 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86940).

80608 is an abundant number, since it is smaller than the sum of its proper divisors (93272).

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

80608 is a wasteful number, since it uses less digits than its factorization.

80608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 80608 is about 283.9154803810. The cubic root of 80608 is about 43.1975764530.

The spelling of 80608 in words is "eighty thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 229 352 458 916 1832 2519 3664 5038 7328 10076 20152 40304 80608