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80496 = 24321343
BaseRepresentation
bin10011101001110000
311002102100
4103221300
510033441
61420400
7453453
oct235160
9132370
1080496
1155529
123a700
132a840
142149a
1518cb6
hex13a70

80496 has 60 divisors (see below), whose sum is σ = 248248. Its totient is φ = 24192.

The previous prime is 80491. The next prime is 80513. The reversal of 80496 is 69408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80491) by changing a digit.

80496 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 11 ways as a sum of consecutive naturals, for example, 1851 + ... + 1893.

280496 is an apocalyptic number.

80496 is a gapful number since it is divisible by the number (86) 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 80496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124124).

80496 is an abundant number, since it is smaller than the sum of its proper divisors (167752).

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

80496 is a wasteful number, since it uses less digits than its factorization.

80496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 80496 is about 283.7181700209. The cubic root of 80496 is about 43.1775603625.

It can be divided in two parts, 804 and 96, that added together give a square (900 = 302).

The spelling of 80496 in words is "eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1677 1872 2064 2236 3096 3354 4472 5031 6192 6708 8944 10062 13416 20124 26832 40248 80496