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82322816 = 271793593
BaseRepresentation
bin1001110100000…
…10010110000000
312201220102200012
410322002112000
5132033312231
612100244052
72016506132
oct472022600
9181812605
1082322816
1142518394
12236a0628
1314094734
14ad0d052
157361e2b
hex4e82580

82322816 has 32 divisors (see below), whose sum is σ = 164964600. Its totient is φ = 40920064.

The previous prime is 82322809. The next prime is 82322831. The reversal of 82322816 is 61822328.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21116 + ... + 24708.

Almost surely, 282322816 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 82322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82482300).

82322816 is an abundant number, since it is smaller than the sum of its proper divisors (82641784).

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

82322816 is a wasteful number, since it uses less digits than its factorization.

82322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3774 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 82322816 is about 9073.1921615273. The cubic root of 82322816 is about 435.0175110756.

It can be divided in two parts, 82322 and 816, that added together give a palindrome (83138).

The spelling of 82322816 in words is "eighty-two million, three hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 179 358 716 1432 2864 3593 5728 7186 11456 14372 22912 28744 57488 114976 229952 459904 643147 1286294 2572588 5145176 10290352 20580704 41161408 82322816