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82339328 = 29732203
BaseRepresentation
bin1001110100001…
…10011000000000
312201221021022202
410322012120000
5132034324303
612100452332
72016605231
oct472063000
9181837282
1082339328
1142529835
12236aa0a8
131409c0c6
14ad15088
157366c88
hex4e86600

82339328 has 40 divisors (see below), whose sum is σ = 166847208. Its totient is φ = 40587264.

The previous prime is 82339321. The next prime is 82339343. The reversal of 82339328 is 82393328.

It is a junction number, because it is equal to n+sod(n) for n = 82339291 and 82339300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82339321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36275 + ... + 38477.

Almost surely, 282339328 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 82339328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83423604).

82339328 is an abundant number, since it is smaller than the sum of its proper divisors (84507880).

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

82339328 is an equidigital number, since it uses as much as digits as its factorization.

82339328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2278 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 82339328 is about 9074.1020492388. The cubic root of 82339328 is about 435.0465938552.

The spelling of 82339328 in words is "eighty-two million, three hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1168 2203 2336 4406 4672 8812 9344 17624 18688 35248 37376 70496 140992 160819 281984 321638 563968 643276 1127936 1286552 2573104 5146208 10292416 20584832 41169664 82339328