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85093983 = 37134173
BaseRepresentation
bin1010001001001…
…10111001011111
312221010020000000
411010212321133
5133241001413
612235505343
72052200262
oct504467137
9187106000
1085093983
1144040407
12245b8253
1314824b90
14b430cd9
15770d073
hex5126e5f

85093983 has 64 divisors (see below), whose sum is σ = 142719360. Its totient is φ = 50388480.

The previous prime is 85093973. The next prime is 85093999. The reversal of 85093983 is 38939058.

It is not a de Polignac number, because 85093983 - 26 = 85093919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85093903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1165635 + ... + 1165707.

It is an arithmetic number, because the mean of its divisors is an integer number (2229990).

Almost surely, 285093983 is an apocalyptic number.

85093983 is a deficient number, since it is larger than the sum of its proper divisors (57625377).

85093983 is an equidigital number, since it uses as much as digits as its factorization.

85093983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 85093983 is about 9224.6399929753. The cubic root of 85093983 is about 439.8449574265.

The spelling of 85093983 in words is "eighty-five million, ninety-three thousand, nine hundred eighty-three".

Divisors: 1 3 9 13 27 39 41 73 81 117 123 219 243 351 369 533 657 729 949 1053 1107 1599 1971 2187 2847 2993 3159 3321 4797 5913 8541 8979 9477 9963 14391 17739 25623 26937 28431 29889 38909 43173 53217 76869 80811 89667 116727 129519 159651 230607 242433 350181 388557 691821 727299 1050543 1165671 2075463 2181897 3151629 6545691 9454887 28364661 85093983