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708408896 = 26132413533
BaseRepresentation
bin101010001110010…
…111011001000000
31211100222220022112
4222032113121000
52422323041041
6154143354452
723361243026
oct5216273100
91740886275
10708408896
113339730a8
121792b2a28
13b39c4980
146a126716
15422d3deb
hex2a397640

708408896 has 56 divisors (see below), whose sum is σ = 1520595384. Its totient is φ = 325509120.

The previous prime is 708408847. The next prime is 708408923. The reversal of 708408896 is 698804807.

It can be written as a sum of positive squares in 4 ways, for example, as 163840000 + 544568896 = 12800^2 + 23336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198746 + ... + 202278.

It is an arithmetic number, because the mean of its divisors is an integer number (27153489).

Almost surely, 2708408896 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 708408896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760297692).

708408896 is an abundant number, since it is smaller than the sum of its proper divisors (812186488).

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

708408896 is a wasteful number, since it uses less digits than its factorization.

708408896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3789 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 708408896 is about 26615.9519085829. The cubic root of 708408896 is about 891.4452367662.

The spelling of 708408896 in words is "seven hundred eight million, four hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 241 416 482 832 964 1928 3133 3533 3856 6266 7066 7712 12532 14132 15424 25064 28264 45929 50128 56528 91858 100256 113056 183716 200512 226112 367432 734864 851453 1469728 1702906 2939456 3405812 6811624 11068889 13623248 22137778 27246496 44275556 54492992 88551112 177102224 354204448 708408896