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85895056 = 24133711161
BaseRepresentation
bin1010001111010…
…10011110010000
312222121220212101
411013222132100
5133442120211
612305010144
72062044622
oct507523620
9188556771
1085895056
1144538255
1224923954
1314a456a0
14b59cc12
15781a5c1
hex51ea790

85895056 has 40 divisors (see below), whose sum is σ = 184083704. Its totient is φ = 38568960.

The previous prime is 85895039. The next prime is 85895059. The reversal of 85895056 is 65059858.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 960400 + 84934656 = 980^2 + 9216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85894997 and 85895015.

It is not an unprimeable number, because it can be changed into a prime (85895059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2116 + ... + 13276.

Almost surely, 285895056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85895056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92041852).

85895056 is an abundant number, since it is smaller than the sum of its proper divisors (98188648).

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

85895056 is a wasteful number, since it uses less digits than its factorization.

85895056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11219 (or 11213 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 46.

The square root of 85895056 is about 9267.9585670200. The cubic root of 85895056 is about 441.2208792344.

The spelling of 85895056 in words is "eighty-five million, eight hundred ninety-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 11161 22322 44644 89288 145093 178576 290186 412957 580372 825914 1160744 1651828 2321488 3303656 5368441 6607312 10736882 21473764 42947528 85895056