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85835000 = 235417167
BaseRepresentation
bin1010001110110…
…11110011111000
312222111212111002
411013123303320
5133433210000
612303424132
72061404546
oct507336370
9188455432
1085835000
11444a7119
12248b5048
1314a24254
14b584d96
1578078d5
hex51dbcf8

85835000 has 40 divisors (see below), whose sum is σ = 201123120. Its totient is φ = 34332000.

The previous prime is 85834981. The next prime is 85835003. The reversal of 85835000 is 53858.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85835003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3584 + ... + 13583.

It is an arithmetic number, because the mean of its divisors is an integer number (5028078).

Almost surely, 285835000 is an apocalyptic number.

It is an amenable number.

85835000 is an abundant number, since it is smaller than the sum of its proper divisors (115288120).

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

85835000 is a wasteful number, since it uses less digits than its factorization.

85835000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17193 (or 17174 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 85835000 is about 9264.7180205336. The cubic root of 85835000 is about 441.1180245015.

Adding to 85835000 its reverse (53858), we get a palindrome (85888858).

The spelling of 85835000 in words is "eighty-five million, eight hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 17167 34334 68668 85835 137336 171670 343340 429175 686680 858350 1716700 2145875 3433400 4291750 8583500 10729375 17167000 21458750 42917500 85835000