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706842880 = 285975693
BaseRepresentation
bin101010001000011…
…001000100000000
31211021001100010221
4222020121010000
52421422433010
6154050032424
723342031262
oct5210310400
91737040127
10706842880
11332aa3577
12178878714
13b3596c33
1469c39b32
15420c4dda
hex2a219100

706842880 has 72 divisors (see below), whose sum is σ = 1710864792. Its totient is φ = 279773184.

The previous prime is 706842863. The next prime is 706842919. The reversal of 706842880 is 88248607.

It can be written as a sum of positive squares in 4 ways, for example, as 4804864 + 702038016 = 2192^2 + 26496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121314 + ... + 127006.

It is an arithmetic number, because the mean of its divisors is an integer number (23762011).

Almost surely, 2706842880 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 706842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855432396).

706842880 is an abundant number, since it is smaller than the sum of its proper divisors (1004021912).

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

706842880 is an equidigital number, since it uses as much as digits as its factorization.

706842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 706842880 is about 26586.5168835634. The cubic root of 706842880 is about 890.7878727962.

The spelling of 706842880 in words is "seven hundred six million, eight hundred forty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1280 1552 1940 3104 3880 5693 6208 7760 11386 12416 15520 22772 24832 28465 31040 45544 56930 62080 91088 113860 124160 182176 227720 364352 455440 552221 728704 910880 1104442 1457408 1821760 2208884 2761105 3643520 4417768 5522210 7287040 8835536 11044420 17671072 22088840 35342144 44177680 70684288 88355360 141368576 176710720 353421440 706842880