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85783293 = 3431127269
BaseRepresentation
bin1010001110011…
…11001011111101
312222102020120000
411013033023331
5133430031133
612302344513
72061101031
oct507171375
9188366500
1085783293
1144471292
122488b139
1314a0685b
14b5701c1
1577e7413
hex51cf2fd

85783293 has 40 divisors (see below), whose sum is σ = 133816320. Its totient is φ = 54704160.

The previous prime is 85783283. The next prime is 85783331. The reversal of 85783293 is 39238758.

It is not a de Polignac number, because 85783293 - 24 = 85783277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85783213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 318763 + ... + 319031.

It is an arithmetic number, because the mean of its divisors is an integer number (3345408).

Almost surely, 285783293 is an apocalyptic number.

It is an amenable number.

85783293 is a deficient number, since it is larger than the sum of its proper divisors (48033027).

85783293 is a wasteful number, since it uses less digits than its factorization.

85783293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 85783293 is about 9261.9270673008. The cubic root of 85783293 is about 441.0294302170.

The spelling of 85783293 in words is "eighty-five million, seven hundred eighty-three thousand, two hundred ninety-three".

Divisors: 1 3 9 27 31 81 93 127 269 279 381 807 837 1143 2421 2511 3429 3937 7263 8339 10287 11811 21789 25017 34163 35433 75051 102489 106299 225153 307467 318897 675459 922401 1059053 2767203 3177159 9531477 28594431 85783293