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85999616 = 21429181
BaseRepresentation
bin1010010000001…
…00000000000000
312222211020021222
411020010000000
5134003441431
612311134212
72062661513
oct510040000
9188736258
1085999616
11445a986a
1224974368
1314a81161
14b5c8d7a
15783b57b
hex5204000

85999616 has 60 divisors (see below), whose sum is σ = 178907820. Its totient is φ = 41287680.

The previous prime is 85999607. The next prime is 85999619. The reversal of 85999616 is 61699958.

It can be written as a sum of positive squares in 2 ways, for example, as 16777216 + 69222400 = 4096^2 + 8320^2 .

It is not an unprimeable number, because it can be changed into a prime (85999619) 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, 475046 + ... + 475226.

It is an arithmetic number, because the mean of its divisors is an integer number (2981797).

Almost surely, 285999616 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 85999616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89453910).

85999616 is an abundant number, since it is smaller than the sum of its proper divisors (92908204).

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

85999616 is an equidigital number, since it uses as much as digits as its factorization.

85999616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 53.

The square root of 85999616 is about 9273.5977915801. The cubic root of 85999616 is about 441.3998392751.

The spelling of 85999616 in words is "eighty-five million, nine hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 181 232 256 362 464 512 724 928 1024 1448 1856 2048 2896 3712 4096 5249 5792 7424 8192 10498 11584 14848 16384 20996 23168 29696 41992 46336 59392 83984 92672 118784 167968 185344 237568 335936 370688 475136 671872 741376 1343744 1482752 2687488 2965504 5374976 10749952 21499904 42999808 85999616