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86146816 = 28748073
BaseRepresentation
bin1010010001001…
…11111100000000
320000002201012211
411020213330000
5134023144231
612314231504
72064143620
oct510477400
9200081184
1086146816
114469a418
1224a25594
1314b03162
14b626880
157869eb1
hex5227f00

86146816 has 36 divisors (see below), whose sum is σ = 196526512. Its totient is φ = 36919296.

The previous prime is 86146813. The next prime is 86146873. The reversal of 86146816 is 61864168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86146813) 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 3 ways as a sum of consecutive naturals, for example, 22245 + ... + 25828.

Almost surely, 286146816 is an apocalyptic number.

It is an amenable number.

86146816 is an abundant number, since it is smaller than the sum of its proper divisors (110379696).

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

86146816 is an equidigital number, since it uses as much as digits as its factorization.

86146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48096 (or 48082 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 86146816 is about 9281.5309082069. The cubic root of 86146816 is about 441.6515342784.

The spelling of 86146816 in words is "eighty-six million, one hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 48073 96146 192292 336511 384584 673022 769168 1346044 1538336 2692088 3076672 5384176 6153344 10768352 12306688 21536704 43073408 86146816