Search a number
-
+
85035800 = 23521932203
BaseRepresentation
bin1010001000110…
…00101100011000
312221000021012002
411010120230120
5133232121200
612234340132
72051535533
oct504305430
9187007162
1085035800
1144000723
122458a648
1314804555
14b417a1a
1576eabd5
hex5118b18

85035800 has 48 divisors (see below), whose sum is σ = 198822840. Its totient is φ = 33822720.

The previous prime is 85035787. The next prime is 85035809. The reversal of 85035800 is 853058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85035809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37499 + ... + 39701.

Almost surely, 285035800 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 85035800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99411420).

85035800 is an abundant number, since it is smaller than the sum of its proper divisors (113787040).

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

85035800 is a wasteful number, since it uses less digits than its factorization.

85035800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2403 counting only the distinct ones).

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

The square root of 85035800 is about 9221.4857805020. The cubic root of 85035800 is about 439.7446865918.

Adding to 85035800 its reverse (853058), we get a palindrome (85888858).

The spelling of 85035800 in words is "eighty-five million, thirty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 193 200 386 772 965 1544 1930 2203 3860 4406 4825 7720 8812 9650 11015 17624 19300 22030 38600 44060 55075 88120 110150 220300 425179 440600 850358 1700716 2125895 3401432 4251790 8503580 10629475 17007160 21258950 42517900 85035800