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82363056 = 24359127229
BaseRepresentation
bin1001110100011…
…00001010110000
312201222110212120
410322030022300
5132041104211
612101154240
72020034346
oct472141260
9181873776
1082363056
1142545646
12236bb980
13140a9b49
14ad1d996
15736dd06
hex4e8c2b0

82363056 has 80 divisors (see below), whose sum is σ = 219033600. Its totient is φ = 26659584.

The previous prime is 82363037. The next prime is 82363093. The reversal of 82363056 is 65036328.

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, 359550 + ... + 359778.

It is an arithmetic number, because the mean of its divisors is an integer number (2737920).

Almost surely, 282363056 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 82363056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109516800).

82363056 is an abundant number, since it is smaller than the sum of its proper divisors (136670544).

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

82363056 is a wasteful number, since it uses less digits than its factorization.

82363056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 82363056 is about 9075.4094122524. The cubic root of 82363056 is about 435.0883794531.

It can be divided in two parts, 823630 and 56, that added together give a triangular number (823686 = T1283).

The spelling of 82363056 in words is "eighty-two million, three hundred sixty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 127 177 229 236 254 354 381 458 472 508 687 708 762 916 944 1016 1374 1416 1524 1832 2032 2748 2832 3048 3664 5496 6096 7493 10992 13511 14986 22479 27022 29083 29972 40533 44958 54044 58166 59944 81066 87249 89916 108088 116332 119888 162132 174498 179832 216176 232664 324264 348996 359664 465328 648528 697992 1395984 1715897 3431794 5147691 6863588 10295382 13727176 20590764 27454352 41181528 82363056