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82411392 = 2737233143
BaseRepresentation
bin1001110100101…
…11111110000000
312202001221011210
410322113332000
5132044131032
612102210120
72020325310
oct472277600
9182057153
1082411392
1142578998
1223723940
13140c5b4b
14ad33440
15737d2cc
hex4e97f80

82411392 has 256 divisors, whose sum is σ = 275742720. Its totient is φ = 21288960.

The previous prime is 82411367. The next prime is 82411397. The reversal of 82411392 is 29311428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82411397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916523 + ... + 1916565.

It is an arithmetic number, because the mean of its divisors is an integer number (1077120).

Almost surely, 282411392 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 82411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137871360).

82411392 is an abundant number, since it is smaller than the sum of its proper divisors (193331328).

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

82411392 is a wasteful number, since it uses less digits than its factorization.

82411392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 109 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 82411392 is about 9078.0720420142. The cubic root of 82411392 is about 435.1734755316.

The spelling of 82411392 in words is "eighty-two million, four hundred eleven thousand, three hundred ninety-two".