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82440050 = 25273111923
BaseRepresentation
bin1001110100111…
…10111101110010
312202010101111012
410322132331302
5132101040200
612102550522
72020505000
oct472367562
9182111435
1082440050
1142598480
1223738442
1314105bc4
14ad3da70
157386a35
hex4e9ef72

82440050 has 192 divisors, whose sum is σ = 214272000. Its totient is φ = 23284800.

The previous prime is 82440047. The next prime is 82440101. The reversal of 82440050 is 5004428.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 82439998 and 82440025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3584339 + ... + 3584361.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 282440050 is an apocalyptic number.

82440050 is an abundant number, since it is smaller than the sum of its proper divisors (131831950).

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

82440050 is a wasteful number, since it uses less digits than its factorization.

82440050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 82440050 is about 9079.6503236634. The cubic root of 82440050 is about 435.2239125560.

Adding to 82440050 its reverse (5004428), we get a palindrome (87444478).

The spelling of 82440050 in words is "eighty-two million, four hundred forty thousand, fifty".