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86226128 = 2431263661
BaseRepresentation
bin1010010001110…
…11010011010000
320000020202000022
411020323103100
5134033214003
612320043012
72064624062
oct510732320
9200222008
1086226128
1144743a6a
1224a63468
1314b302a1
14b647732
157883738
hex523b4d0

86226128 has 40 divisors (see below), whose sum is σ = 173369856. Its totient is φ = 41500800.

The previous prime is 86226121. The next prime is 86226143. The reversal of 86226128 is 82162268.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86226121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130118 + ... + 130778.

Almost surely, 286226128 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 86226128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86684928).

86226128 is an abundant number, since it is smaller than the sum of its proper divisors (87143728).

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

86226128 is a wasteful number, since it uses less digits than its factorization.

86226128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 957 counting only the distinct ones).

The product of its digits is 18432, while the sum is 35.

The square root of 86226128 is about 9285.8024962843. The cubic root of 86226128 is about 441.7870297960.

The spelling of 86226128 in words is "eighty-six million, two hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 263 496 526 661 1052 1322 2104 2644 4208 5288 8153 10576 16306 20491 32612 40982 65224 81964 130448 163928 173843 327856 347686 695372 1390744 2781488 5389133 10778266 21556532 43113064 86226128