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82490056 = 2311361127
BaseRepresentation
bin1001110101010…
…11001011001000
312202012221002021
410322223023020
5132104140211
612104014224
72021103535
oct472531310
9182187067
1082490056
1142622000
1223761374
13141228ac
14ad53d8c
157396771
hex4eab2c8

82490056 has 64 divisors (see below), whose sum is σ = 174274560. Its totient is φ = 36590400.

The previous prime is 82490053. The next prime is 82490059. The reversal of 82490056 is 65009428.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82490053) and next prime (82490059).

It is not an unprimeable number, because it can be changed into a prime (82490053) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 649465 + ... + 649591.

It is an arithmetic number, because the mean of its divisors is an integer number (2723040).

Almost surely, 282490056 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 82490056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87137280).

82490056 is an abundant number, since it is smaller than the sum of its proper divisors (91784504).

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

82490056 is a wasteful number, since it uses less digits than its factorization.

82490056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 82490056 is about 9082.4036466125. The cubic root of 82490056 is about 435.3118932886.

The spelling of 82490056 in words is "eighty-two million, four hundred ninety thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 61 88 121 122 127 242 244 254 484 488 508 671 968 1016 1331 1342 1397 2662 2684 2794 5324 5368 5588 7381 7747 10648 11176 14762 15367 15494 29524 30734 30988 59048 61468 61976 81191 85217 122936 162382 169037 170434 324764 338074 340868 649528 676148 681736 937387 1352296 1874774 3749548 7499096 10311257 20622514 41245028 82490056