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85693040 = 2451956377
BaseRepresentation
bin1010001101110…
…01001001110000
312222020122202022
411012321021300
5133414134130
612300411012
72060243636
oct506711160
9188218668
1085693040
114440a4a4
1224846a68
13149a4754
14b549356
1577ca7e5
hex51b9270

85693040 has 40 divisors (see below), whose sum is σ = 209726160. Its totient is φ = 32472576.

The previous prime is 85693033. The next prime is 85693043. The reversal of 85693040 is 4039658.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85693043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26669 + ... + 29708.

It is an arithmetic number, because the mean of its divisors is an integer number (5243154).

Almost surely, 285693040 is an apocalyptic number.

85693040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85693040 is an abundant number, since it is smaller than the sum of its proper divisors (124033120).

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

85693040 is a wasteful number, since it uses less digits than its factorization.

85693040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56409 (or 56403 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 85693040 is about 9257.0535269058. The cubic root of 85693040 is about 440.8747062401.

The spelling of 85693040 in words is "eighty-five million, six hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 56377 112754 225508 281885 451016 563770 902032 1071163 1127540 2142326 2255080 4284652 4510160 5355815 8569304 10711630 17138608 21423260 42846520 85693040