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85464786 = 231110112821
BaseRepresentation
bin1010001100000…
…01011011010010
312221211001122110
411012001123102
5133334333121
612251450150
72055303321
oct506013322
9187731573
1085464786
1144273a60
1224756956
13149248a4
14b4ca0b8
157782d76
hex51816d2

85464786 has 32 divisors (see below), whose sum is σ = 188329536. Its totient is φ = 25640000.

The previous prime is 85464781. The next prime is 85464791. The reversal of 85464786 is 68746458.

It is an interprime number because it is at equal distance from previous prime (85464781) and next prime (85464791).

It is not an unprimeable number, because it can be changed into a prime (85464781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256 + ... + 13076.

It is an arithmetic number, because the mean of its divisors is an integer number (5885298).

Almost surely, 285464786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85464786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94164768).

85464786 is an abundant number, since it is smaller than the sum of its proper divisors (102864750).

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

85464786 is a wasteful number, since it uses less digits than its factorization.

85464786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938.

The product of its digits is 1290240, while the sum is 48.

The square root of 85464786 is about 9244.7166533107. The cubic root of 85464786 is about 440.4829167563.

The spelling of 85464786 in words is "eighty-five million, four hundred sixty-four thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 12821 25642 38463 76926 141031 282062 423093 846186 1294921 2589842 3884763 7769526 14244131 28488262 42732393 85464786