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82519338 = 2311310333
BaseRepresentation
bin1001110101100…
…10010100101010
312202021102020210
410322302110222
5132111104323
612104401550
72021255106
oct472622452
9182242223
1082519338
1142642000
12237762b6
1314133015
14ad60906
1573a0293
hex4eb252a

82519338 has 32 divisors (see below), whose sum is σ = 181547712. Its totient is φ = 25003440.

The previous prime is 82519313. The next prime is 82519351. The reversal of 82519338 is 83391528.

It is a super-2 number, since 2×825193382 = 13618882287916488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82519296 and 82519305.

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 15 ways as a sum of consecutive naturals, for example, 2820 + ... + 13152.

It is an arithmetic number, because the mean of its divisors is an integer number (5673366).

Almost surely, 282519338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82519338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90773856).

82519338 is an abundant number, since it is smaller than the sum of its proper divisors (99028374).

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

82519338 is a wasteful number, since it uses less digits than its factorization.

82519338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10371 (or 10349 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 82519338 is about 9084.0155217833. The cubic root of 82519338 is about 435.3633956373.

The spelling of 82519338 in words is "eighty-two million, five hundred nineteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1331 2662 3993 7986 10333 20666 30999 61998 113663 227326 340989 681978 1250293 2500586 3750879 7501758 13753223 27506446 41259669 82519338