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82820094 = 23745749
BaseRepresentation
bin1001110111110…
…11101111111110
312202211200210220
410323323233332
5132200220334
612115042210
72023650000
oct473735776
9182750726
1082820094
1142827a65
12238a0366
1314209b96
14addc370
15740e449
hex4efbbfe

82820094 has 40 divisors (see below), whose sum is σ = 193269000. Its totient is φ = 23658768.

The previous prime is 82820093. The next prime is 82820099. The reversal of 82820094 is 49002828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82820093) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11532 + ... + 17280.

It is an arithmetic number, because the mean of its divisors is an integer number (4831725).

Almost surely, 282820094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82820094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96634500).

82820094 is an abundant number, since it is smaller than the sum of its proper divisors (110448906).

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

82820094 is an equidigital number, since it uses as much as digits as its factorization.

82820094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5782 (or 5761 counting only the distinct ones).

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

The square root of 82820094 is about 9100.5545984846. The cubic root of 82820094 is about 435.8916734218.

The spelling of 82820094 in words is "eighty-two million, eight hundred twenty thousand, ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 686 1029 2058 2401 4802 5749 7203 11498 14406 17247 34494 40243 80486 120729 241458 281701 563402 845103 1690206 1971907 3943814 5915721 11831442 13803349 27606698 41410047 82820094