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85850200 = 2352479133
BaseRepresentation
bin1010001110111…
…11100001011000
312222112122100001
411013133201120
5133434201300
612304022344
72061500062
oct507374130
9188478301
1085850200
1144507587
12249019b4
1314a2b147
14b58a732
15780c16a
hex51df858

85850200 has 48 divisors (see below), whose sum is σ = 203870880. Its totient is φ = 33605760.

The previous prime is 85850197. The next prime is 85850213. The reversal of 85850200 is 205858.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4834 + ... + 13966.

It is an arithmetic number, because the mean of its divisors is an integer number (4247310).

Almost surely, 285850200 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 85850200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101935440).

85850200 is an abundant number, since it is smaller than the sum of its proper divisors (118020680).

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

85850200 is a wasteful number, since it uses less digits than its factorization.

85850200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 85850200 is about 9265.5383006062. The cubic root of 85850200 is about 441.1440612706.

The spelling of 85850200 in words is "eighty-five million, eight hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9133 9400 18266 36532 45665 73064 91330 182660 228325 365320 429251 456650 858502 913300 1717004 1826600 2146255 3434008 4292510 8585020 10731275 17170040 21462550 42925100 85850200