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685029024 = 25326138993
BaseRepresentation
bin101000110101001…
…011011010100000
31202202000002011100
4220311023122200
52400331412044
6151550314400
722655436111
oct5065133240
91682002140
10685029024
11321754499
121714b8a00
13abbca024
1466d9c208
1540216869
hex28d4b6a0

685029024 has 72 divisors (see below), whose sum is σ = 1980037332. Its totient is φ = 224593920.

The previous prime is 685028977. The next prime is 685029053. The reversal of 685029024 is 420920586.

It is a happy number.

685029024 is a `hidden beast` number, since 68 + 502 + 90 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 569681424 + 115347600 = 23868^2 + 10740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 685029024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1929 + ... + 37064.

Almost surely, 2685029024 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 685029024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990018666).

685029024 is an abundant number, since it is smaller than the sum of its proper divisors (1295008308).

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

685029024 is a wasteful number, since it uses less digits than its factorization.

685029024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39070 (or 39059 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 685029024 is about 26173.0591257499. The cubic root of 685029024 is about 881.5284319534.

The spelling of 685029024 in words is "six hundred eighty-five million, twenty-nine thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1464 1952 2196 2928 4392 5856 8784 17568 38993 77986 116979 155972 233958 311944 350937 467916 623888 701874 935832 1247776 1403748 1871664 2378573 2807496 3743328 4757146 5614992 7135719 9514292 11229984 14271438 19028584 21407157 28542876 38057168 42814314 57085752 76114336 85628628 114171504 171257256 228343008 342514512 685029024