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82835244 = 22334716319
BaseRepresentation
bin1001110111111…
…11011100101100
312202212110121000
410323333130230
5132201211434
612115240300
72024042112
oct473773454
9182773530
1082835244
1142838388
12238a9090
1314213a4b
14b003ab2
157413b99
hex4eff72c

82835244 has 48 divisors (see below), whose sum is σ = 219340800. Its totient is φ = 27022608.

The previous prime is 82835239. The next prime is 82835257. The reversal of 82835244 is 44253828.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82835199 and 82835208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3084 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (4569600).

Almost surely, 282835244 is an apocalyptic number.

It is an amenable number.

82835244 is an abundant number, since it is smaller than the sum of its proper divisors (136505556).

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

82835244 is a wasteful number, since it uses less digits than its factorization.

82835244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16379 (or 16371 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 82835244 is about 9101.3869272765. The cubic root of 82835244 is about 435.9182505317.

The spelling of 82835244 in words is "eighty-two million, eight hundred thirty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 16319 32638 48957 65276 97914 146871 195828 293742 440613 587484 766993 881226 1533986 1762452 2300979 3067972 4601958 6902937 9203916 13805874 20708811 27611748 41417622 82835244