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996743825 = 527114173173
BaseRepresentation
bin111011011010010…
…001101010010001
32120110112211110222
4323122101222101
54020131300300
6242523402425
733462116450
oct7332215221
92513484428
10996743825
114716aa430
12239983415
1312b66a05c
1496540b97
155c78b785
hex3b691a91

996743825 has 96 divisors (see below), whose sum is σ = 1609396992. Its totient is φ = 594432000.

The previous prime is 996743809. The next prime is 996743863. The reversal of 996743825 is 528347699.

It is a happy number.

996743825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 996743825 - 24 = 996743809 is a prime.

Its product of digits (3265920) is a multiple of the sum of its prime factors (315).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5761439 + ... + 5761611.

It is an arithmetic number, because the mean of its divisors is an integer number (16764552).

Almost surely, 2996743825 is an apocalyptic number.

It is an amenable number.

996743825 is a deficient number, since it is larger than the sum of its proper divisors (612653167).

996743825 is a wasteful number, since it uses less digits than its factorization.

996743825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 310 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 53.

The square root of 996743825 is about 31571.2499752544. The cubic root of 996743825 is about 998.9134281225.

The spelling of 996743825 in words is "nine hundred ninety-six million, seven hundred forty-three thousand, eight hundred twenty-five".

Divisors: 1 5 7 11 25 35 41 55 73 77 173 175 205 275 287 365 385 451 511 803 865 1025 1211 1435 1825 1903 1925 2255 2555 2993 3157 4015 4325 5621 6055 7093 7175 9515 11275 12629 12775 13321 14965 15785 20075 20951 28105 30275 32923 35465 47575 49651 63145 66605 74825 78023 78925 88403 104755 138919 140525 164615 177325 230461 248255 315725 333025 390115 442015 517789 523775 546161 694595 823075 972433 1152305 1241275 1950575 2210075 2588945 2730805 3472975 3624523 4862165 5695679 5761525 12944725 13654025 18122615 24310825 28478395 39869753 90613075 142391975 199348765 996743825