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682490016 = 25331360763
BaseRepresentation
bin101000101011011…
…111100010100000
31202120020002022000
4220223133202200
52344204140031
6151420044000
722625032545
oct5053374240
91676202260
10682490016
1132027a93a
12170693600
13ab51b460
14668dabcc
153edb43e6
hex28adf8a0

682490016 has 96 divisors (see below), whose sum is σ = 2143753920. Its totient is φ = 209993472.

The previous prime is 682490009. The next prime is 682490057. The reversal of 682490016 is 610094286.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19150 + ... + 41613.

It is an arithmetic number, because the mean of its divisors is an integer number (22330770).

Almost surely, 2682490016 is an apocalyptic number.

It is an amenable number.

682490016 is an abundant number, since it is smaller than the sum of its proper divisors (1461263904).

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

682490016 is a wasteful number, since it uses less digits than its factorization.

682490016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60795 (or 60781 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 682490016 is about 26124.5098710005. The cubic root of 682490016 is about 880.4379775739.

It can be divided in two parts, 68 and 2490016, that added together give a square (2490084 = 15782).

The spelling of 682490016 in words is "six hundred eighty-two million, four hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 60763 121526 182289 243052 364578 486104 546867 729156 789919 972208 1093734 1458312 1579838 1640601 1944416 2187468 2369757 2916624 3159676 3281202 4374936 4739514 5833248 6319352 6562404 7109271 8749872 9479028 12638704 13124808 14218542 17499744 18958056 21327813 25277408 26249616 28437084 37916112 42655626 52499232 56874168 75832224 85311252 113748336 170622504 227496672 341245008 682490016