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9999825 = 35211172331
BaseRepresentation
bin100110001001…
…010111010001
3200211001011220
4212021113101
510024443300
6554155253
7150666003
oct46112721
920731156
109999825
115710020
123422b29
1320c1774
141484373
15d27da0
hex9895d1

9999825 has 96 divisors (see below), whose sum is σ = 20570112. Its totient is φ = 4224000.

The previous prime is 9999823. The next prime is 9999863. The reversal of 9999825 is 5289999.

It is not a de Polignac number, because 9999825 - 21 = 9999823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (524880) is a multiple of the sum of its prime divisors (90).

9999825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9999823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322560 + ... + 322590.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 29999825 is an apocalyptic number.

It is an amenable number.

9999825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

9999825 is a wasteful number, since it uses less digits than its factorization.

9999825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

The product of its digits is 524880, while the sum is 51.

The square root of 9999825 is about 3162.2499901178. The cubic root of 9999825 is about 215.4422122423.

The spelling of 9999825 in words is "nine million, nine hundred ninety-nine thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 17 23 25 31 33 51 55 69 75 85 93 115 155 165 187 253 255 275 341 345 391 425 465 527 561 575 713 759 775 825 935 1023 1173 1265 1275 1581 1705 1725 1955 2139 2325 2635 2805 3565 3795 4301 4675 5115 5797 5865 6325 7843 7905 8525 9775 10695 12121 12903 13175 14025 17391 17825 18975 21505 23529 25575 28985 29325 36363 39215 39525 53475 60605 64515 86955 107525 117645 133331 144925 181815 196075 303025 322575 399993 434775 588225 666655 909075 1999965 3333275 9999825