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85500000 = 25325619
BaseRepresentation
bin1010001100010…
…10000001100000
312221212211221200
411012022001200
5133342000000
612252321200
72055511065
oct506120140
9187784850
1085500000
1144298463
1224773200
1314937921
14b4d8c6c
15778d500
hex518a060

85500000 has 252 divisors, whose sum is σ = 319917780. Its totient is φ = 21600000.

The previous prime is 85499983. The next prime is 85500001. The reversal of 85500000 is 558.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85500001) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4499991 + ... + 4500009.

It is an arithmetic number, because the mean of its divisors is an integer number (1269515).

Almost surely, 285500000 is an apocalyptic number.

85500000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159958890).

85500000 is an abundant number, since it is smaller than the sum of its proper divisors (234417780).

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

85500000 is an equidigital number, since it uses as much as digits as its factorization.

85500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 85500000 is about 9246.6210044535. The cubic root of 85500000 is about 440.5434057455.

Adding to 85500000 its reverse (558), we get a palindrome (85500558).

The spelling of 85500000 in words is "eighty-five million, five hundred thousand".