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82820304 = 2432782163
BaseRepresentation
bin1001110111110…
…11110011010000
312202211201002200
410323323303100
5132200222204
612115043200
72023650420
oct473736320
9182751080
1082820304
1142828136
12238a0500
1314209cc8
14addc480
15740e539
hex4efbcd0

82820304 has 60 divisors (see below), whose sum is σ = 264896736. Its totient is φ = 23662656.

The previous prime is 82820281. The next prime is 82820321. The reversal of 82820304 is 40302828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40074 + ... + 42089.

Almost surely, 282820304 is an apocalyptic number.

82820304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82820304 is an abundant number, since it is smaller than the sum of its proper divisors (182076432).

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

82820304 is a wasteful number, since it uses less digits than its factorization.

82820304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82184 (or 82175 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82820304 is about 9100.5661362357. The cubic root of 82820304 is about 435.8920418395.

The spelling of 82820304 in words is "eighty-two million, eight hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 82163 164326 246489 328652 492978 575141 657304 739467 985956 1150282 1314608 1478934 1725423 1971912 2300564 2957868 3450846 3943824 4601128 5176269 5915736 6901692 9202256 10352538 11831472 13803384 20705076 27606768 41410152 82820304