Search a number
-
+
80808 = 23371337
BaseRepresentation
bin10011101110101000
311002211220
4103232220
510041213
61422040
7454410
oct235650
9132756
1080808
1155792
123a920
132aa20
1421640
1518e23
hex13ba8

80808 has 64 divisors (see below), whose sum is σ = 255360. Its totient is φ = 20736.

The previous prime is 80803. The next prime is 80809.

It is a happy number.

80808 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

80808 is a strobogrammatic number because it is the same when read upside-down.

80808 is an undulating number in base 10.

80808 is a modest number, since divided by 808 gives 8 as remainder.

It is not an unprimeable number, because it can be changed into a prime (80803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2166 + ... + 2202.

It is an arithmetic number, because the mean of its divisors is an integer number (3990).

280808 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 80808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127680).

80808 is an abundant number, since it is smaller than the sum of its proper divisors (174552).

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

80808 is a wasteful number, since it uses less digits than its factorization.

80808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 80808 is about 284.2674796736. The cubic root of 80808 is about 43.2332734054.

It can be divided in two parts, 80 and 808, that added together give a palindrome (888).

The spelling of 80808 in words is "eighty thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 13468 20202 26936 40404 80808