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82621680 = 2435344257
BaseRepresentation
bin1001110110010…
…11010011110000
312202110121122020
410323023103300
5132122343210
612110511440
72022162351
oct473132360
9182417566
1082621680
1142701989
1223805580
131416a78b
14ad89d28
1573c0770
hex4ecb4f0

82621680 has 40 divisors (see below), whose sum is σ = 256127952. Its totient is φ = 22032384.

The previous prime is 82621663. The next prime is 82621691. The reversal of 82621680 is 8612628.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171889 + ... + 172368.

Almost surely, 282621680 is an apocalyptic number.

82621680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82621680 is an abundant number, since it is smaller than the sum of its proper divisors (173506272).

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

82621680 is a wasteful number, since it uses less digits than its factorization.

82621680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344273 (or 344267 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 82621680 is about 9089.6468578268. The cubic root of 82621680 is about 435.5433031786.

The spelling of 82621680 in words is "eighty-two million, six hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 344257 688514 1032771 1377028 1721285 2065542 2754056 3442570 4131084 5163855 5508112 6885140 8262168 10327710 13770280 16524336 20655420 27540560 41310840 82621680