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82839808 = 281512143
BaseRepresentation
bin1001111000000…
…00100100000000
312202212200212001
410330000210000
5132201333213
612115313344
72024061322
oct474004400
9182780761
1082839808
1142840857
12238ab854
1314215b4c
14b005612
1574151dd
hex4f00900

82839808 has 36 divisors (see below), whose sum is σ = 166528768. Its totient is φ = 41126400.

The previous prime is 82839787. The next prime is 82839811. The reversal of 82839808 is 80893828.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37585 + ... + 39727.

Almost surely, 282839808 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 82839808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83264384).

82839808 is an abundant number, since it is smaller than the sum of its proper divisors (83688960).

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

82839808 is a wasteful number, since it uses less digits than its factorization.

82839808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 82839808 is about 9101.6376548399. The cubic root of 82839808 is about 435.9262563605.

The spelling of 82839808 in words is "eighty-two million, eight hundred thirty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 151 256 302 604 1208 2143 2416 4286 4832 8572 9664 17144 19328 34288 38656 68576 137152 274304 323593 548608 647186 1294372 2588744 5177488 10354976 20709952 41419904 82839808