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82449956 = 2231289241
BaseRepresentation
bin1001110101000…
…01011000100100
312202010220002002
410322201120210
5132101344311
612103104432
72020545611
oct472413044
9182126062
1082449956
11425a4966
1223742118
131410a574
14ad43508
15738993b
hex4ea1624

82449956 has 36 divisors (see below), whose sum is σ = 151392780. Its totient is φ = 39283200.

The previous prime is 82449953. The next prime is 82449971. The reversal of 82449956 is 65994428.

It can be written as a sum of positive squares in 2 ways, for example, as 38440000 + 44009956 = 6200^2 + 6634^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82449956.

It is not an unprimeable number, because it can be changed into a prime (82449953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 341996 + ... + 342236.

It is an arithmetic number, because the mean of its divisors is an integer number (4205355).

Almost surely, 282449956 is an apocalyptic number.

It is an amenable number.

82449956 is a deficient number, since it is larger than the sum of its proper divisors (68942824).

82449956 is a wasteful number, since it uses less digits than its factorization.

82449956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 363 counting only the distinct ones).

The product of its digits is 622080, while the sum is 47.

The square root of 82449956 is about 9080.1958128666. The cubic root of 82449956 is about 435.2413440326.

The spelling of 82449956 in words is "eighty-two million, four hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 4 31 62 89 124 178 241 356 482 961 964 1922 2759 3844 5518 7471 11036 14942 21449 29884 42898 85529 85796 171058 231601 342116 463202 664919 926404 1329838 2659676 20612489 41224978 82449956