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685565440 = 295767571
BaseRepresentation
bin101000110111001…
…110011000000000
31202210000022222121
4220313032120000
52401001043230
6152010014024
722663132030
oct5067163000
91683008877
10685565440
11321a9050a
12171717314
13ac057231
146709b8c0
15402c077a
hex28dce600

685565440 has 160 divisors (see below), whose sum is σ = 1909949184. Its totient is φ = 231137280.

The previous prime is 685565437. The next prime is 685565473. The reversal of 685565440 is 44565586.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 1200355 + ... + 1200925.

Almost surely, 2685565440 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 685565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954974592).

685565440 is an abundant number, since it is smaller than the sum of its proper divisors (1224383744).

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

685565440 is an equidigital number, since it uses as much as digits as its factorization.

685565440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The square root of 685565440 is about 26183.3046042703. The cubic root of 685565440 is about 881.7584672588.

The spelling of 685565440 in words is "six hundred eighty-five million, five hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 128 134 140 160 224 256 268 280 320 335 448 469 512 536 560 571 640 670 896 938 1072 1120 1142 1280 1340 1792 1876 2144 2240 2284 2345 2560 2680 2855 3584 3752 3997 4288 4480 4568 4690 5360 5710 7504 7994 8576 8960 9136 9380 10720 11420 15008 15988 17152 17920 18272 18760 19985 21440 22840 30016 31976 34304 36544 37520 38257 39970 42880 45680 60032 63952 73088 75040 76514 79940 85760 91360 120064 127904 146176 150080 153028 159880 171520 182720 191285 240128 255808 267799 292352 300160 306056 319760 365440 382570 511616 535598 600320 612112 639520 730880 765140 1023232 1071196 1200640 1224224 1279040 1338995 1461760 1530280 2046464 2142392 2448448 2558080 2677990 3060560 4284784 4896896 5116160 5355980 6121120 8569568 9793792 10232320 10711960 12242240 17139136 19587584 21423920 24484480 34278272 42847840 48968960 68556544 85695680 97937920 137113088 171391360 342782720 685565440