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685438944 = 25361671747
BaseRepresentation
bin101000110110101…
…111011111100000
31202202202220110120
4220312233133200
52400433021234
6152003200240
722662064161
oct5066573740
91682686416
10685438944
11321a04473
12171676080
13ac011798
1467067768
1540298049
hex28daf7e0

685438944 has 96 divisors (see below), whose sum is σ = 1857131136. Its totient is φ = 221253120.

The previous prime is 685438933. The next prime is 685438951. The reversal of 685438944 is 449834586.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391479 + ... + 393225.

It is an arithmetic number, because the mean of its divisors is an integer number (19345116).

Almost surely, 2685438944 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 685438944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928565568).

685438944 is an abundant number, since it is smaller than the sum of its proper divisors (1171692192).

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

685438944 is a wasteful number, since it uses less digits than its factorization.

685438944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1880 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 51.

The square root of 685438944 is about 26180.8889077510. Note that the first 3 decimals coincide. The cubic root of 685438944 is about 881.7042318431.

The spelling of 685438944 in words is "six hundred eighty-five million, four hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 67 96 122 134 183 201 244 268 366 402 488 536 732 804 976 1072 1464 1608 1747 1952 2144 2928 3216 3494 4087 5241 5856 6432 6988 8174 10482 12261 13976 16348 20964 24522 27952 32696 41928 49044 55904 65392 83856 98088 106567 117049 130784 167712 196176 213134 234098 319701 351147 392352 426268 468196 639402 702294 852536 936392 1278804 1404588 1705072 1872784 2557608 2809176 3410144 3745568 5115216 5618352 7139989 10230432 11236704 14279978 21419967 28559956 42839934 57119912 85679868 114239824 171359736 228479648 342719472 685438944