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682008075 = 325272367281
BaseRepresentation
bin101000101001101…
…001111000001011
31202112022121012100
4220221221320023
52344043224300
6151401444443
722620654510
oct5051517013
91675277170
10682008075
1131aa80841
121704a0723
13ab3acc98
1466813307
153ed1b700
hex28a69e0b

682008075 has 144 divisors (see below), whose sum is σ = 1483762176. Its totient is φ = 292723200.

The previous prime is 682008073. The next prime is 682008113. The reversal of 682008075 is 570800286.

It is not a de Polignac number, because 682008075 - 21 = 682008073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (682008073) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2426935 + ... + 2427215.

It is an arithmetic number, because the mean of its divisors is an integer number (10303904).

Almost surely, 2682008075 is an apocalyptic number.

682008075 is an abundant number, since it is smaller than the sum of its proper divisors (801754101).

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

682008075 is a wasteful number, since it uses less digits than its factorization.

682008075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 682008075 is about 26115.2843178090. The cubic root of 682008075 is about 880.2306880574.

The spelling of 682008075 in words is "six hundred eighty-two million, eight thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 67 69 75 105 115 161 175 201 207 225 281 315 335 345 469 483 525 575 603 805 843 1005 1035 1405 1407 1449 1541 1575 1675 1725 1967 2345 2415 2529 3015 4025 4215 4221 4623 5025 5175 5901 6463 7025 7035 7245 7705 9835 10787 11725 12075 12645 13869 15075 17703 18827 19389 21075 21105 23115 29505 32315 32361 35175 36225 38525 45241 49175 53935 56481 58167 63225 69345 88515 94135 96945 97083 105525 115575 131789 135723 147525 161575 161805 169443 226205 269675 282405 290835 346725 395367 407169 433021 442575 470675 484725 485415 658945 678615 809025 847215 1131025 1186101 1299063 1412025 1454175 1976835 2035845 2165105 2427075 3031147 3294725 3393075 3897189 4236075 5930505 6495315 9093441 9884175 10179225 10825525 15155735 19485945 27280323 29652525 32476575 45467205 75778675 97429725 136401615 227336025 682008075