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684427536 = 243313472593
BaseRepresentation
bin101000110010111…
…000100100010000
31202200212112002000
4220302320210100
52400203140121
6151525354000
722650352362
oct5062704420
91680775060
10684427536
113213835a1
12171268900
13aba49310
1466c82d32
1540148526
hex28cb8910

684427536 has 160 divisors (see below), whose sum is σ = 2161528320. Its totient is φ = 206032896.

The previous prime is 684427453. The next prime is 684427547. The reversal of 684427536 is 635724486.

It is a junction number, because it is equal to n+sod(n) for n = 684427491 and 684427500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262656 + ... + 265248.

It is an arithmetic number, because the mean of its divisors is an integer number (13509552).

Almost surely, 2684427536 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 684427536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1080764160).

684427536 is an abundant number, since it is smaller than the sum of its proper divisors (1477100784).

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

684427536 is a wasteful number, since it uses less digits than its factorization.

684427536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2658 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 684427536 is about 26161.5660081731. The cubic root of 684427536 is about 881.2703484663.

The spelling of 684427536 in words is "six hundred eighty-four million, four hundred twenty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 47 48 52 54 72 78 94 104 108 117 141 144 156 188 208 216 234 282 312 351 376 423 432 468 564 611 624 702 752 846 936 1128 1222 1269 1404 1692 1833 1872 2256 2444 2538 2593 2808 3384 3666 4888 5076 5186 5499 5616 6768 7332 7779 9776 10152 10372 10998 14664 15558 16497 20304 20744 21996 23337 29328 31116 32994 33709 41488 43992 46674 62232 65988 67418 70011 87984 93348 101127 121871 124464 131976 134836 140022 186696 202254 243742 263952 269672 280044 303381 365613 373392 404508 487484 539344 560088 606762 731226 809016 910143 974968 1096839 1120176 1213524 1462452 1584323 1618032 1820286 1949936 2193678 2427048 2924904 3168646 3290517 3640572 4387356 4752969 4854096 5849808 6337292 6581034 7281144 8774712 9505938 12674584 13162068 14258907 14562288 17549424 19011876 25349168 26324136 28517814 38023752 42776721 52648272 57035628 76047504 85553442 114071256 171106884 228142512 342213768 684427536