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868953904 = 2471319101311
BaseRepresentation
bin110011110010110…
…010111100110000
32020120002102122221
4303302302330300
53234423011104
6222120410424
730350662210
oct6362627460
92216072587
10868953904
11406557a25
12203016a14
1310b046510
1483598240
1551447c54
hex33cb2f30

868953904 has 160 divisors (see below), whose sum is σ = 2209858560. Its totient is φ = 321408000.

The previous prime is 868953871. The next prime is 868953919. The reversal of 868953904 is 409359868.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2793909 + ... + 2794219.

It is an arithmetic number, because the mean of its divisors is an integer number (13811616).

Almost surely, 2868953904 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 868953904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104929280).

868953904 is an abundant number, since it is smaller than the sum of its proper divisors (1340904656).

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

868953904 is a wasteful number, since it uses less digits than its factorization.

868953904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The square root of 868953904 is about 29478.0240857490. The cubic root of 868953904 is about 954.2574947304.

The spelling of 868953904 in words is "eight hundred sixty-eight million, nine hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 101 104 112 133 152 182 202 208 247 266 304 311 364 404 494 532 622 707 728 808 988 1064 1244 1313 1414 1456 1616 1729 1919 1976 2128 2177 2488 2626 2828 3458 3838 3952 4043 4354 4976 5252 5656 5909 6916 7676 8086 8708 9191 10504 11312 11818 13433 13832 15352 16172 17416 18382 21008 23636 24947 26866 27664 28301 30704 31411 32344 34832 36764 41363 47272 49894 53732 56602 62822 64688 73528 76817 82726 94544 99788 107464 113204 125644 147056 153634 165452 174629 199576 214928 219877 226408 251288 307268 330904 349258 399152 408343 439754 452816 502576 537719 596809 614536 661808 698516 816686 879508 1075438 1193618 1229072 1397032 1633372 1759016 2150876 2387236 2794064 2858401 3266744 3518032 4177663 4301752 4774472 5716802 6533488 7758517 8355326 8603504 9548944 11433604 15517034 16710652 22867208 31034068 33421304 45734416 54309619 62068136 66842608 108619238 124136272 217238476 434476952 868953904