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85490888 = 23724672
BaseRepresentation
bin1010001100001…
…11110011001000
312221212101110012
411012013303020
5133341202023
612252211052
72055442400
oct506076310
9187771405
1085490888
114429162a
1224769a88
1314933732
14b4d5800
15778a978
hex5187cc8

85490888 has 36 divisors (see below), whose sum is σ = 186866235. Its totient is φ = 36560496.

The previous prime is 85490879. The next prime is 85490893. The reversal of 85490888 is 88809458.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 42745444 + 42745444 = 6538^2 + 6538^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6538.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182831 + ... + 183297.

Almost surely, 285490888 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 85490888

85490888 is an abundant number, since it is smaller than the sum of its proper divisors (101375347).

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

85490888 is an equidigital number, since it uses as much as digits as its factorization.

85490888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 50.

The square root of 85490888 is about 9246.1282707953. The cubic root of 85490888 is about 440.5277551641.

Multiplying 85490888 by its sum of digits (50), we get a square (4274544400 = 653802).

The spelling of 85490888 in words is "eighty-five million, four hundred ninety thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 467 934 1868 3269 3736 6538 13076 22883 26152 45766 91532 183064 218089 436178 872356 1526623 1744712 3053246 6106492 10686361 12212984 21372722 42745444 85490888