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686393352 = 2335714973
BaseRepresentation
bin101000111010011…
…000100000001000
31202211120101200000
4220322120200020
52401204041402
6152035443000
723003150541
oct5072304010
91684511600
10686393352
113224a6537
12171a56460
13ac287018
14672354c8
15403d5c1c
hex28e98808

686393352 has 96 divisors (see below), whose sum is σ = 1955378880. Its totient is φ = 225529920.

The previous prime is 686393303. The next prime is 686393353. The reversal of 686393352 is 253393686.

686393352 is a `hidden beast` number, since 6 + 8 + 639 + 3 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×6863933522 = 942271667339591808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 686393298 and 686393307.

It is not an unprimeable number, because it can be changed into a prime (686393353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135538 + ... + 140510.

It is an arithmetic number, because the mean of its divisors is an integer number (20368530).

Almost surely, 2686393352 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 686393352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977689440).

686393352 is an abundant number, since it is smaller than the sum of its proper divisors (1268985528).

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

686393352 is a wasteful number, since it uses less digits than its factorization.

686393352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5065 (or 5049 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 686393352 is about 26199.1097558677. The cubic root of 686393352 is about 882.1132715832.

The spelling of 686393352 in words is "six hundred eighty-six million, three hundred ninety-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 81 108 142 162 213 216 243 284 324 426 486 568 639 648 852 972 1278 1704 1917 1944 2556 3834 4973 5112 5751 7668 9946 11502 14919 15336 17253 19892 23004 29838 34506 39784 44757 46008 59676 69012 89514 119352 134271 138024 179028 268542 353083 358056 402813 537084 706166 805626 1059249 1074168 1208439 1412332 1611252 2118498 2416878 2824664 3177747 3222504 4236996 4833756 6355494 8473992 9533241 9667512 12710988 19066482 25421976 28599723 38132964 57199446 76265928 85799169 114398892 171598338 228797784 343196676 686393352