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286049568 = 25371512819
BaseRepresentation
bin10001000011001…
…100010100100000
3201221020211020110
4101003030110200
51041212041233
644215011320
710042244520
oct2103142440
9657224213
10286049568
11137516302
127b969b40
13473550cc
1429dc1680
151a1a5663
hex110cc520

286049568 has 96 divisors (see below), whose sum is σ = 864138240. Its totient is φ = 81158400.

The previous prime is 286049549. The next prime is 286049573. The reversal of 286049568 is 865940682.

It is a happy number.

286049568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 169132-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 100063 + ... + 102881.

It is an arithmetic number, because the mean of its divisors is an integer number (9001440).

Almost surely, 2286049568 is an apocalyptic number.

286049568 is a gapful number since it is divisible by the number (28) 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 286049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432069120).

286049568 is an abundant number, since it is smaller than the sum of its proper divisors (578088672).

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

286049568 is a wasteful number, since it uses less digits than its factorization.

286049568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 286049568 is about 16912.9999704369. Note that the first 4 decimals coincide. The cubic root of 286049568 is about 658.8912882340.

The spelling of 286049568 in words is "two hundred eighty-six million, forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1812 2114 2416 2819 3171 3624 4228 4832 5638 6342 7248 8456 8457 11276 12684 14496 16912 16914 19733 22552 25368 33824 33828 39466 45104 50736 59199 67656 78932 90208 101472 118398 135312 157864 236796 270624 315728 425669 473592 631456 851338 947184 1277007 1702676 1894368 2554014 2979683 3405352 5108028 5959366 6810704 8939049 10216056 11918732 13621408 17878098 20432112 23837464 35756196 40864224 47674928 71512392 95349856 143024784 286049568