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299425408 = 27192353101
BaseRepresentation
bin10001110110001…
…101111010000000
3202212102101102221
4101312031322000
51103123103113
645413420424
710264034242
oct2166157200
9685371387
10299425408
11144021817
128433a714
134a0593c9
142baa4092
151b44898d
hex11d8de80

299425408 has 128 divisors (see below), whose sum is σ = 674179200. Its totient is φ = 131788800.

The previous prime is 299425397. The next prime is 299425409. The reversal of 299425408 is 804524992.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (299425409) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2964558 + ... + 2964658.

It is an arithmetic number, because the mean of its divisors is an integer number (5267025).

Almost surely, 2299425408 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 299425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337089600).

299425408 is an abundant number, since it is smaller than the sum of its proper divisors (374753792).

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

299425408 is a wasteful number, since it uses less digits than its factorization.

299425408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 299425408 is about 17303.9130834618. The cubic root of 299425408 is about 669.0052871332.

The spelling of 299425408 in words is "two hundred ninety-nine million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 53 64 76 92 101 106 128 152 184 202 212 304 368 404 424 437 608 736 808 848 874 1007 1216 1219 1472 1616 1696 1748 1919 2014 2323 2432 2438 2944 3232 3392 3496 3838 4028 4646 4876 5353 6464 6784 6992 7676 8056 9292 9752 10706 12928 13984 15352 16112 18584 19504 21412 23161 27968 30704 32224 37168 39008 42824 44137 46322 55936 61408 64448 74336 78016 85648 88274 92644 101707 122816 123119 128896 148672 156032 171296 176548 185288 203414 245632 246238 297344 342592 353096 370576 406828 492476 685184 706192 741152 813656 984952 1412384 1482304 1627312 1969904 2339261 2824768 2964608 3254624 3939808 4678522 5649536 6509248 7879616 9357044 13018496 15759232 18714088 37428176 74856352 149712704 299425408