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682492590 = 232513312607
BaseRepresentation
bin101000101011100…
…000001010101110
31202120020012211100
4220223200022232
52344204230330
6151420103530
722625043213
oct5053401256
91676205740
10682492590
1132028186a
12170694ba6
13ab51c690
14668dbb0a
153edb5060
hex28ae02ae

682492590 has 144 divisors (see below), whose sum is σ = 1977865344. Its totient is φ = 162311040.

The previous prime is 682492579. The next prime is 682492609. The reversal of 682492590 is 95294286.

It is a super-2 number, since 2×6824925902 = 931592270809816200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 1124067 + ... + 1124673.

It is an arithmetic number, because the mean of its divisors is an integer number (13735176).

Almost surely, 2682492590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682492590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988932672).

682492590 is an abundant number, since it is smaller than the sum of its proper divisors (1295372754).

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

682492590 is a wasteful number, since it uses less digits than its factorization.

682492590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 682492590 is about 26124.5591350361. The cubic root of 682492590 is about 880.4390844250.

The spelling of 682492590 in words is "six hundred eighty-two million, four hundred ninety-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 607 806 930 961 1170 1209 1214 1395 1821 1922 2015 2418 2790 2883 3035 3627 3642 4030 4805 5463 5766 6045 6070 7254 7891 8649 9105 9610 10926 12090 12493 14415 15782 17298 18135 18210 18817 23673 24986 27315 28830 36270 37479 37634 39455 43245 47346 54630 56451 62465 71019 74958 78910 86490 94085 112437 112902 118365 124930 142038 169353 187395 188170 224874 236730 244621 282255 338706 355095 374790 489242 562185 564510 583327 710190 733863 846765 1124370 1166654 1223105 1467726 1693530 1749981 2201589 2446210 2916635 3499962 3669315 4403178 5249943 5833270 7338630 7583251 8749905 10499886 11007945 15166502 17499810 22015890 22749753 26249715 37916255 45499506 52499430 68249259 75832510 113748765 136498518 227497530 341246295 682492590