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994007808 = 2833314639
BaseRepresentation
bin111011001111110…
…101101100000000
32120021101211101000
4323033311230000
54013431222213
6242345012000
733426632643
oct7317655400
92507354330
10994007808
11470100862
12238a84000
1312ac1c901
149602ba5a
155c3eac73
hex3b3f5b00

994007808 has 144 divisors (see below), whose sum is σ = 3034931200. Its totient is φ = 320578560.

The previous prime is 994007801. The next prime is 994007809. The reversal of 994007808 is 808700499.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (994007801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211953 + ... + 216591.

Almost surely, 2994007808 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 994007808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517465600).

994007808 is an abundant number, since it is smaller than the sum of its proper divisors (2040923392).

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

994007808 is a wasteful number, since it uses less digits than its factorization.

994007808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 994007808 is about 31527.8893679866. The cubic root of 994007808 is about 997.9985997359.

The spelling of 994007808 in words is "nine hundred ninety-four million, seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 279 288 372 384 432 496 558 576 744 768 837 864 992 1116 1152 1488 1674 1728 1984 2232 2304 2976 3348 3456 3968 4464 4639 5952 6696 6912 7936 8928 9278 11904 13392 13917 17856 18556 23808 26784 27834 35712 37112 41751 53568 55668 71424 74224 83502 107136 111336 125253 143809 148448 167004 214272 222672 250506 287618 296896 334008 431427 445344 501012 575236 593792 668016 862854 890688 1002024 1150472 1187584 1294281 1336032 1725708 1781376 2004048 2300944 2588562 2672064 3451416 3562752 3882843 4008096 4601888 5177124 5344128 6902832 7765686 8016192 9203776 10354248 10688256 13805664 15531372 16032384 18407552 20708496 27611328 31062744 32064768 36815104 41416992 55222656 62125488 82833984 110445312 124250976 165667968 248501952 331335936 497003904 994007808