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80821440 = 26325719211
BaseRepresentation
bin1001101000100…
…11110011000000
312122002011011200
410310103303000
5131142241230
612004141200
72000654010
oct464236300
9178064150
1080821440
1141692387
1223097800
131398a24b
14aa3bc40
157167160
hex4d13cc0

80821440 has 336 divisors, whose sum is σ = 336011520. Its totient is φ = 17418240.

The previous prime is 80821423. The next prime is 80821441. The reversal of 80821440 is 4412808.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80821441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382935 + ... + 383145.

Almost surely, 280821440 is an apocalyptic number.

80821440 is a gapful number since it is divisible by the number (80) 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 80821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168005760).

80821440 is an abundant number, since it is smaller than the sum of its proper divisors (255190080).

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

80821440 is a wasteful number, since it uses less digits than its factorization.

80821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 80821440 is about 8990.0745269436. The cubic root of 80821440 is about 432.3567012764.

The spelling of 80821440 in words is "eighty million, eight hundred twenty-one thousand, four hundred forty".