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80424 = 23321117
BaseRepresentation
bin10011101000101000
311002022200
4103220220
510033144
61420200
7453321
oct235050
9132280
1080424
1155473
123a660
132a7b6
1421448
1518c69
hex13a28

80424 has 24 divisors (see below), whose sum is σ = 218010. Its totient is φ = 26784.

The previous prime is 80407. The next prime is 80429. The reversal of 80424 is 42408.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 79524 + 900 = 282^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 80397 and 80406.

It is not an unprimeable number, because it can be changed into a prime (80429) 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 5 ways as a sum of consecutive naturals, for example, 487 + ... + 630.

280424 is an apocalyptic number.

It is an amenable number.

80424 is an abundant number, since it is smaller than the sum of its proper divisors (137586).

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

80424 is a wasteful number, since it uses less digits than its factorization.

80424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 80424 is about 283.5912551543. The cubic root of 80424 is about 43.1646830697.

It can be divided in two parts, 804 and 24, that added together give a palindrome (828).

The spelling of 80424 in words is "eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1117 2234 3351 4468 6702 8936 10053 13404 20106 26808 40212 80424