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84161322 = 23372171871
BaseRepresentation
bin1010000010000…
…11001100101010
312212100211122000
411001003030222
5133021130242
612203511430
72041234200
oct501031452
9185324560
1084161322
1143563713
1224228576
13145894cb
14b26b070
1575c6a4c
hex504332a

84161322 has 96 divisors (see below), whose sum is σ = 230480640. Its totient is φ = 22619520.

The previous prime is 84161321. The next prime is 84161327. The reversal of 84161322 is 22316148.

84161322 is a `hidden beast` number, since 8 + 41 + 613 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84161321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44047 + ... + 45917.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 284161322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84161322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115240320).

84161322 is an abundant number, since it is smaller than the sum of its proper divisors (146319318).

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

84161322 is a wasteful number, since it uses less digits than its factorization.

84161322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1900 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 84161322 is about 9173.9480050848. The cubic root of 84161322 is about 438.2320969184.

The spelling of 84161322 in words is "eighty-four million, one hundred sixty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 54 63 98 102 119 126 147 153 189 238 294 306 357 378 441 459 714 833 882 918 1071 1323 1666 1871 2142 2499 2646 3213 3742 4998 5613 6426 7497 11226 13097 14994 16839 22491 26194 31807 33678 39291 44982 50517 63614 78582 91679 95421 101034 117873 183358 190842 222649 235746 275037 286263 353619 445298 550074 572526 667947 707238 825111 858789 1335894 1558543 1650222 1717578 2003841 2475333 3117086 4007682 4675629 4950666 6011523 9351258 12023046 14026887 28053774 42080661 84161322