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82640943 = 32711237293
BaseRepresentation
bin1001110110100…
…00000000101111
312202111121001200
410323100000233
5132124002233
612111140543
72022302460
oct473200057
9182447050
1082640943
1142715400
1223814753
1314176488
14ad92d67
1573c6313
hex4ed002f

82640943 has 72 divisors (see below), whose sum is σ = 154531104. Its totient is φ = 41627520.

The previous prime is 82640897. The next prime is 82640977. The reversal of 82640943 is 34904628.

It is a happy number.

82640943 is a `hidden beast` number, since 8 + 2 + 640 + 9 + 4 + 3 = 666.

It is not a de Polignac number, because 82640943 - 28 = 82640687 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82640898 and 82640907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82640843) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 281905 + ... + 282197.

Almost surely, 282640943 is an apocalyptic number.

82640943 is a deficient number, since it is larger than the sum of its proper divisors (71890161).

82640943 is a wasteful number, since it uses less digits than its factorization.

82640943 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 82640943 is about 9090.7064081951. The cubic root of 82640943 is about 435.5771490921.

The spelling of 82640943 in words is "eighty-two million, six hundred forty thousand, nine hundred forty-three".

Divisors: 1 3 7 9 11 21 33 37 63 77 99 111 121 231 259 293 333 363 407 693 777 847 879 1089 1221 2051 2331 2541 2637 2849 3223 3663 4477 6153 7623 8547 9669 10841 13431 18459 22561 25641 29007 31339 32523 35453 40293 67683 75887 94017 97569 106359 119251 203049 227661 248171 282051 319077 357753 682983 744513 834757 1073259 1311761 2233539 2504271 3935283 7512813 9182327 11805849 27546981 82640943