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85219456 = 27795111
BaseRepresentation
bin1010001010001…
…01100010000000
312221100121010011
411011011202000
5133304010311
612242314304
72053232140
oct505054200
9187317104
1085219456
1144116703
1224658994
131486a01a
14b464920
157735321
hex5145880

85219456 has 32 divisors (see below), whose sum is σ = 194028480. Its totient is φ = 36522240.

The previous prime is 85219451. The next prime is 85219471. The reversal of 85219456 is 65491258.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (85219451) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46660 + ... + 48451.

It is an arithmetic number, because the mean of its divisors is an integer number (6063390).

Almost surely, 285219456 is an apocalyptic number.

It is an amenable number.

85219456 is an abundant number, since it is smaller than the sum of its proper divisors (108809024).

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

85219456 is an equidigital number, since it uses as much as digits as its factorization.

85219456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95132 (or 95120 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 85219456 is about 9231.4384577919. The cubic root of 85219456 is about 440.0610383641.

The spelling of 85219456 in words is "eighty-five million, two hundred nineteen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 95111 190222 380444 665777 760888 1331554 1521776 2663108 3043552 5326216 6087104 10652432 12174208 21304864 42609728 85219456