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85850730 = 232572937127
BaseRepresentation
bin1010001110111…
…11101001101010
312222112200001200
411013133221222
5133434210410
612304025030
72061501450
oct507375152
9188480050
1085850730
1144507a19
1224902176
1314a2b464
14b58a9d0
15780c3c0
hex51dfa6a

85850730 has 192 divisors, whose sum is σ = 273162240. Its totient is φ = 18289152.

The previous prime is 85850711. The next prime is 85850753. The reversal of 85850730 is 3705858.

It is a happy number.

85850730 is a `hidden beast` number, since 8 + 585 + 0 + 73 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675927 + ... + 676053.

It is an arithmetic number, because the mean of its divisors is an integer number (1422720).

Almost surely, 285850730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85850730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136581120).

85850730 is an abundant number, since it is smaller than the sum of its proper divisors (187311510).

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

85850730 is a wasteful number, since it uses less digits than its factorization.

85850730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 85850730 is about 9265.5669011669. The cubic root of 85850730 is about 441.1449690762.

The spelling of 85850730 in words is "eighty-five million, eight hundred fifty thousand, seven hundred thirty".