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685362816 = 2733613251
BaseRepresentation
bin101000110110011…
…100111010000000
31202202122001001000
4220312130322000
52400423102231
6152001412000
722661326215
oct5066347200
91682561030
10685362816
11321962256
1217163a000
13abcb5c38
1467047b0c
15402806e6
hex28d9ce80

685362816 has 128 divisors (see below), whose sum is σ = 2056564800. Its totient is φ = 224640000.

The previous prime is 685362757. The next prime is 685362833. The reversal of 685362816 is 618263586.

685362816 is a `hidden beast` number, since 6 + 8 + 5 + 3 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 209191 + ... + 212441.

Almost surely, 2685362816 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 685362816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028282400).

685362816 is an abundant number, since it is smaller than the sum of its proper divisors (1371201984).

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

685362816 is a wasteful number, since it uses less digits than its factorization.

685362816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3317 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 685362816 is about 26179.4349824438. The cubic root of 685362816 is about 881.6715885929.

The spelling of 685362816 in words is "six hundred eighty-five million, three hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 288 366 384 432 488 549 576 732 864 976 1098 1152 1464 1647 1728 1952 2196 2928 3251 3294 3456 3904 4392 5856 6502 6588 7808 8784 9753 11712 13004 13176 17568 19506 23424 26008 26352 29259 35136 39012 52016 52704 58518 70272 78024 87777 104032 105408 117036 156048 175554 198311 208064 210816 234072 312096 351108 396622 416128 468144 594933 624192 702216 793244 936288 1189866 1248384 1404432 1586488 1784799 1872576 2379732 2808864 3172976 3569598 3745152 4759464 5354397 5617728 6345952 7139196 9518928 10708794 11235456 12691904 14278392 19037856 21417588 25383808 28556784 38075712 42835176 57113568 76151424 85670352 114227136 171340704 228454272 342681408 685362816