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82341888 = 21236701
BaseRepresentation
bin1001110100001…
…11000000000000
312201221101211120
410322013000000
5132034420023
612100512240
72016615546
oct472070000
9181841746
1082341888
1142530752
12236ab680
13140a0315
14ad15d96
1573678e3
hex4e87000

82341888 has 52 divisors (see below), whose sum is σ = 219584328. Its totient is φ = 27443200.

The previous prime is 82341871. The next prime is 82341911. The reversal of 82341888 is 88814328.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8938 + ... + 15638.

Almost surely, 282341888 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 82341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109792164).

82341888 is an abundant number, since it is smaller than the sum of its proper divisors (137242440).

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

82341888 is an equidigital number, since it uses as much as digits as its factorization.

82341888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6728 (or 6706 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 82341888 is about 9074.2431089320. The cubic root of 82341888 is about 435.0511024652.

The spelling of 82341888 in words is "eighty-two million, three hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 6701 12288 13402 20103 26804 40206 53608 80412 107216 160824 214432 321648 428864 643296 857728 1286592 1715456 2573184 3430912 5146368 6861824 10292736 13723648 20585472 27447296 41170944 82341888