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82411264 = 281324763
BaseRepresentation
bin1001110100101…
…11111100000000
312202001221000001
410322113330000
5132044130024
612102205344
72020325035
oct472277400
9182057001
1082411264
1142578891
1223723854
13140c5a80
14ad3338c
15737d244
hex4e97f00

82411264 has 36 divisors (see below), whose sum is σ = 177161656. Its totient is φ = 38034432.

The previous prime is 82411249. The next prime is 82411283. The reversal of 82411264 is 46211428.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9054 + ... + 15709.

Almost surely, 282411264 is an apocalyptic number.

It is an amenable number.

82411264 is an abundant number, since it is smaller than the sum of its proper divisors (94750392).

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

82411264 is a wasteful number, since it uses less digits than its factorization.

82411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24792 (or 24778 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 82411264 is about 9078.0649920564. The cubic root of 82411264 is about 435.1732502301.

The spelling of 82411264 in words is "eighty-two million, four hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 24763 49526 99052 198104 321919 396208 643838 792416 1287676 1584832 2575352 3169664 5150704 6339328 10301408 20602816 41205632 82411264