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85950501 = 37131492113
BaseRepresentation
bin1010001111110…
…00000000100101
312222201201220220
411013320000211
5134000404001
612310114553
72062365360
oct507700045
9188651826
1085950501
114457597a
122494ba59
1314a649b0
14b5b50d7
15782bc36
hex51f8025

85950501 has 32 divisors (see below), whose sum is σ = 142060800. Its totient is φ = 45010944.

The previous prime is 85950467. The next prime is 85950503. The reversal of 85950501 is 10505958.

It is not a de Polignac number, because 85950501 - 26 = 85950437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85950503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39621 + ... + 41733.

It is an arithmetic number, because the mean of its divisors is an integer number (4439400).

Almost surely, 285950501 is an apocalyptic number.

It is an amenable number.

85950501 is a deficient number, since it is larger than the sum of its proper divisors (56110299).

85950501 is a wasteful number, since it uses less digits than its factorization.

85950501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2285.

The product of its (nonzero) digits is 9000, while the sum is 33.

The square root of 85950501 is about 9270.9493041436. The cubic root of 85950501 is about 441.3157943979.

It can be divided in two parts, 859 and 50501, that added together give a triangular number (51360 = T320).

The spelling of 85950501 in words is "eighty-five million, nine hundred fifty thousand, five hundred one".

Divisors: 1 3 7 13 21 39 91 149 273 447 1043 1937 2113 3129 5811 6339 13559 14791 27469 40677 44373 82407 192283 314837 576849 944511 2203859 4092881 6611577 12278643 28650167 85950501