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9689856 = 283113137
BaseRepresentation
bin100100111101…
…101100000000
3200020021222120
4210331230000
54440033411
6543404240
7145235211
oct44755400
920207876
109689856
115519150
1232b3680
132013657
141403408
15cb6106
hex93db00

9689856 has 144 divisors (see below), whose sum is σ = 29826048. Its totient is φ = 2764800.

The previous prime is 9689767. The next prime is 9689891. The reversal of 9689856 is 6589869.

It is a junction number, because it is equal to n+sod(n) for n = 9689799 and 9689808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261870 + ... + 261906.

Almost surely, 29689856 is an apocalyptic number.

9689856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913024).

9689856 is an abundant number, since it is smaller than the sum of its proper divisors (20136192).

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

9689856 is a wasteful number, since it uses less digits than its factorization.

9689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 84 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 9689856 is about 3112.8533534364. The cubic root of 9689856 is about 213.1927546064.

The spelling of 9689856 in words is "nine million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 37 44 48 62 64 66 74 88 93 96 111 124 128 132 148 176 186 192 222 248 256 264 296 341 352 372 384 407 444 496 528 592 682 704 744 768 814 888 992 1023 1056 1147 1184 1221 1364 1408 1488 1628 1776 1984 2046 2112 2294 2368 2442 2728 2816 2976 3256 3441 3552 3968 4092 4224 4588 4736 4884 5456 5952 6512 6882 7104 7936 8184 8448 9176 9472 9768 10912 11904 12617 13024 13764 14208 16368 18352 19536 21824 23808 25234 26048 27528 28416 32736 36704 37851 39072 43648 50468 52096 55056 65472 73408 75702 78144 87296 100936 104192 110112 130944 146816 151404 156288 201872 220224 261888 293632 302808 312576 403744 440448 605616 807488 880896 1211232 1614976 2422464 3229952 4844928 9689856