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686557344 = 253113591811
BaseRepresentation
bin101000111011000…
…000100010100000
31202211212201121210
4220323000202200
52401224313334
6152043150120
723004432624
oct5073004240
91684781553
10686557344
113225a8770
12171b15340
13ac313865
1467279184
15404195e9
hex28ec08a0

686557344 has 96 divisors (see below), whose sum is σ = 1972615680. Its totient is φ = 207353600.

The previous prime is 686557327. The next prime is 686557349. The reversal of 686557344 is 443755686.

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 a junction number, because it is equal to n+sod(n) for n = 686557293 and 686557302.

It is not an unprimeable number, because it can be changed into a prime (686557349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378199 + ... + 380009.

It is an arithmetic number, because the mean of its divisors is an integer number (20548080).

Almost surely, 2686557344 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 686557344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986307840).

686557344 is an abundant number, since it is smaller than the sum of its proper divisors (1286058336).

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

686557344 is a wasteful number, since it uses less digits than its factorization.

686557344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2186 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 48.

The square root of 686557344 is about 26202.2392936176. The cubic root of 686557344 is about 882.1835170190.

The spelling of 686557344 in words is "six hundred eighty-six million, five hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 359 528 718 1056 1077 1436 1811 2154 2872 3622 3949 4308 5433 5744 7244 7898 8616 10866 11488 11847 14488 15796 17232 19921 21732 23694 28976 31592 34464 39842 43464 47388 57952 59763 63184 79684 86928 94776 119526 126368 159368 173856 189552 239052 318736 379104 478104 637472 650149 956208 1300298 1912416 1950447 2600596 3900894 5201192 7151639 7801788 10402384 14303278 15603576 20804768 21454917 28606556 31207152 42909834 57213112 62414304 85819668 114426224 171639336 228852448 343278672 686557344