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896000917 = 72192373
BaseRepresentation
bin110101011001111…
…110001110010101
32022102222120012011
4311121332032111
53313334012132
6224524224221
731126611400
oct6531761625
92272876164
10896000917
1141a850829
1221009b071
13113826376
1486dd8d37
15539dbb47
hex3567e395

896000917 has 36 divisors (see below), whose sum is σ = 1130587020. Its totient is φ = 707915376.

The previous prime is 896000887. The next prime is 896000947. The reversal of 896000917 is 719000698.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (896000887) and next prime (896000947).

It can be written as a sum of positive squares in 2 ways, for example, as 693479556 + 202521361 = 26334^2 + 14231^2 .

It is a de Polignac number, because none of the positive numbers 2k-896000917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 896000917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896000947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24216223 + ... + 24216259.

It is an arithmetic number, because the mean of its divisors is an integer number (31405195).

Almost surely, 2896000917 is an apocalyptic number.

It is an amenable number.

896000917 is a deficient number, since it is larger than the sum of its proper divisors (234586103).

896000917 is an frugal number, since it uses more digits than its factorization.

896000917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 40.

The square root of 896000917 is about 29933.2744115975. The cubic root of 896000917 is about 964.0572345540.

It can be divided in two parts, 89 and 6000917, that added together give a palindrome (6001006).

The spelling of 896000917 in words is "eight hundred ninety-six million, nine hundred seventeen", and thus it is an aban number.

Divisors: 1 7 19 37 49 133 259 361 703 931 1369 1813 2527 4921 9583 13357 17689 26011 34447 50653 67081 93499 182077 354571 494209 654493 962407 1274539 2481997 3459463 6736849 18285733 24216241 47157943 128000131 896000917