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84081152 = 29971693
BaseRepresentation
bin1010000001011…
…11101000000000
312212012202122202
411000233220000
5133011044102
612202052332
72040451361
oct500575000
9185182582
1084081152
1143509461
12241aa0a8
131455bb7c
14b249b68
1575ace02
hex502fa00

84081152 has 40 divisors (see below), whose sum is σ = 169830276. Its totient is φ = 41582592.

The previous prime is 84081103. The next prime is 84081191. The reversal of 84081152 is 25118048.

It can be written as a sum of positive squares in 2 ways, for example, as 83466496 + 614656 = 9136^2 + 784^2 .

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, 48818 + ... + 50510.

Almost surely, 284081152 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 84081152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84915138).

84081152 is an abundant number, since it is smaller than the sum of its proper divisors (85749124).

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

84081152 is an equidigital number, since it uses as much as digits as its factorization.

84081152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 84081152 is about 9169.5775257097. The cubic root of 84081152 is about 438.0929030151.

The spelling of 84081152 in words is "eighty-four million, eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1552 1693 3104 3386 6208 6772 12416 13544 24832 27088 49664 54176 108352 164221 216704 328442 433408 656884 866816 1313768 2627536 5255072 10510144 21020288 42040576 84081152