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685584 = 2434232
BaseRepresentation
bin10100111011000010000
31021211110000
42213120100
5133414314
622410000
75553534
oct2473020
91254400
10685584
114290a9
12290900
131b0093
1413bbc4
15d8209
hexa7610

685584 has 75 divisors (see below), whose sum is σ = 2074303. Its totient is φ = 218592.

The previous prime is 685547. The next prime is 685591. The reversal of 685584 is 485586.

It is a happy number.

The square root of 685584 is 828.

It is a perfect power (a square), and thus also a powerful number.

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

It is a d-powerful number, because it can be written as 6 + 85 + 52 + 58 + 86 + 42 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is an unprimeable number.

685584 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29797 + ... + 29819.

2685584 is an apocalyptic number.

685584 is the 828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685584

685584 is an abundant number, since it is smaller than the sum of its proper divisors (1388719).

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

685584 is a wasteful number, since it uses less digits than its factorization.

685584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 28 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The cubic root of 685584 is about 88.1766424335.

Multiplying 685584 by its sum of digits (36), we get a square (24681024 = 49682).

685584 divided by its sum of digits (36) gives a square (19044 = 1382).

The spelling of 685584 in words is "six hundred eighty-five thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 529 552 621 648 828 1058 1104 1242 1296 1587 1656 1863 2116 2484 3174 3312 3726 4232 4761 4968 6348 7452 8464 9522 9936 12696 14283 14904 19044 25392 28566 29808 38088 42849 57132 76176 85698 114264 171396 228528 342792 685584