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85663400 = 23521922543
BaseRepresentation
bin1010001101100…
…01111010101000
312222012011002112
411012301322220
5133412212100
612300021452
72060061344
oct506617250
9188164075
1085663400
114439a1a9
1224831888
1314994104
14b53c624
1577c1b35
hex51b1ea8

85663400 has 48 divisors (see below), whose sum is σ = 209659200. Its totient is φ = 32460480.

The previous prime is 85663397. The next prime is 85663411. The reversal of 85663400 is 436658.

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 11 ways as a sum of consecutive naturals, for example, 7472 + ... + 15071.

It is an arithmetic number, because the mean of its divisors is an integer number (4367900).

Almost surely, 285663400 is an apocalyptic number.

It is an amenable number.

85663400 is an abundant number, since it is smaller than the sum of its proper divisors (123995800).

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

85663400 is a wasteful number, since it uses less digits than its factorization.

85663400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22578 (or 22569 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 85663400 is about 9255.4524470714. The cubic root of 85663400 is about 440.8238696213.

The spelling of 85663400 in words is "eighty-five million, six hundred sixty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 22543 45086 90172 112715 180344 225430 428317 450860 563575 856634 901720 1127150 1713268 2141585 2254300 3426536 4283170 4508600 8566340 10707925 17132680 21415850 42831700 85663400