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868890825 = 32521117107193
BaseRepresentation
bin110011110010100…
…011100011001001
32020112222020010200
4303302203203021
53234414001300
6222115202413
730350310255
oct6362434311
92215866120
10868890825
114065145a0
12202ba6409
1310b0238aa
148357d265
1551434200
hex33ca38c9

868890825 has 144 divisors (see below), whose sum is σ = 1823829696. Its totient is φ = 390758400.

The previous prime is 868890823. The next prime is 868890857. The reversal of 868890825 is 528098868.

868890825 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 868890825 - 21 = 868890823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (868890821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4501929 + ... + 4502121.

It is an arithmetic number, because the mean of its divisors is an integer number (12665484).

Almost surely, 2868890825 is an apocalyptic number.

868890825 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

868890825 is an abundant number, since it is smaller than the sum of its proper divisors (954938871).

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

868890825 is a wasteful number, since it uses less digits than its factorization.

868890825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 868890825 is about 29476.9541336957. The cubic root of 868890825 is about 954.2344037222.

The spelling of 868890825 in words is "eight hundred sixty-eight million, eight hundred ninety thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 107 153 165 187 193 225 255 275 321 425 495 535 561 579 765 825 935 963 965 1177 1275 1605 1683 1737 1819 2123 2475 2675 2805 2895 3281 3531 3825 4675 4815 4825 5457 5885 6369 8025 8415 8685 9095 9843 10593 10615 14025 14475 16371 16405 17655 19107 20009 20651 24075 27285 29425 29529 31845 36091 42075 43425 45475 49215 52965 53075 60027 61953 81855 82025 88275 95535 100045 103255 108273 136425 147645 159225 180081 180455 185859 227161 246075 264825 300135 309765 324819 351067 409275 477675 500225 516275 541365 681483 738225 900405 902275 929295 1053201 1135805 1500675 1548825 1624095 1755335 2044449 2706825 3159603 3407415 3861737 4502025 4646475 5266005 5679025 8120475 8776675 10222245 11585211 15798015 17037075 19308685 26330025 34755633 51111225 57926055 78990075 96543425 173778165 289630275 868890825