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82420296 = 23371373581
BaseRepresentation
bin1001110100110…
…10001001001000
312202002101101120
410322122021020
5132044422141
612102315240
72020363260
oct472321110
9182071346
1082420296
1142584652
1223728b20
13140c9c0a
14ad367a0
157380c66
hex4e9a248

82420296 has 64 divisors (see below), whose sum is σ = 237271680. Its totient is φ = 23370240.

The previous prime is 82420277. The next prime is 82420307. The reversal of 82420296 is 69202428.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 21226 + ... + 24806.

It is an arithmetic number, because the mean of its divisors is an integer number (3707370).

Almost surely, 282420296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82420296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118635840).

82420296 is an abundant number, since it is smaller than the sum of its proper divisors (154851384).

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

82420296 is a wasteful number, since it uses less digits than its factorization.

82420296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3734 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82420296 is about 9078.5624412679. The cubic root of 82420296 is about 435.1891474956.

The spelling of 82420296 in words is "eighty-two million, four hundred twenty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 137 168 274 411 548 822 959 1096 1644 1918 2877 3288 3581 3836 5754 7162 7672 10743 11508 14324 21486 23016 25067 28648 42972 50134 75201 85944 100268 150402 200536 300804 490597 601608 981194 1471791 1962388 2943582 3434179 3924776 5887164 6868358 10302537 11774328 13736716 20605074 27473432 41210148 82420296