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685585152 = 2832742509
BaseRepresentation
bin101000110111010…
…011001100000000
31202210001100000200
4220313103030000
52401002211102
6152010245200
722663243350
oct5067231400
91683040020
10685585152
11321aa42aa
12171726800
13ac0631b5
14670a4b60
15402c651c
hex28dd3300

685585152 has 108 divisors (see below), whose sum is σ = 2259151440. Its totient is φ = 195876864.

The previous prime is 685585111. The next prime is 685585169. The reversal of 685585152 is 251585586.

685585152 is a `hidden beast` number, since 6 + 85 + 58 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 685585098 and 685585107.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5127 + ... + 37382.

Almost surely, 2685585152 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 685585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129575720).

685585152 is an abundant number, since it is smaller than the sum of its proper divisors (1573566288).

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

685585152 is a wasteful number, since it uses less digits than its factorization.

685585152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42538 (or 42521 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The square root of 685585152 is about 26183.6810246382. The cubic root of 685585152 is about 881.7669182179.

The spelling of 685585152 in words is "six hundred eighty-five million, five hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 42509 85018 127527 170036 255054 297563 340072 382581 510108 595126 680144 765162 892689 1020216 1190252 1360288 1530324 1785378 2040432 2380504 2678067 2720576 3060648 3570756 4080864 4761008 5356134 5441152 6121296 7141512 8161728 9522016 10712268 10882304 12242592 14283024 16323456 19044032 21424536 24485184 28566048 32646912 38088064 42849072 48970368 57132096 76176128 85698144 97940736 114264192 171396288 228528384 342792576 685585152