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85936300 = 2252859363
BaseRepresentation
bin1010001111101…
…00100010101100
312222201000102221
411013310202230
5133444430200
612305525124
72062306102
oct507644254
9188630387
1085936300
114456623a
12249437a4
1314a5b3a8
14b5adc72
15782791a
hex51f48ac

85936300 has 18 divisors (see below), whose sum is σ = 186481988. Its totient is φ = 34374480.

The previous prime is 85936271. The next prime is 85936313. The reversal of 85936300 is 363958.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 429582 + ... + 429781.

Almost surely, 285936300 is an apocalyptic number.

It is an amenable number.

85936300 is an abundant number, since it is smaller than the sum of its proper divisors (100545688).

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

85936300 is a wasteful number, since it uses less digits than its factorization.

85936300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859377 (or 859370 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 85936300 is about 9270.1833854568. The cubic root of 85936300 is about 441.2914878853.

The spelling of 85936300 in words is "eighty-five million, nine hundred thirty-six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 859363 1718726 3437452 4296815 8593630 17187260 21484075 42968150 85936300