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86144544 = 2532299113
BaseRepresentation
bin1010010001001…
…11011000100000
320000002121002200
411020213120200
5134023111134
612314213200
72064134163
oct510473040
9200077080
1086144544
1144698742
1224a24200
1314b02105
14b625ada
157869499
hex5227620

86144544 has 36 divisors (see below), whose sum is σ = 244974366. Its totient is φ = 28714752.

The previous prime is 86144521. The next prime is 86144551. The reversal of 86144544 is 44544168.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 81216144 + 4928400 = 9012^2 + 2220^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86144499 and 86144508.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 149269 + ... + 149844.

Almost surely, 286144544 is an apocalyptic number.

It is an amenable number.

86144544 is an abundant number, since it is smaller than the sum of its proper divisors (158829822).

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

86144544 is a wasteful number, since it uses less digits than its factorization.

86144544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299129 (or 299118 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 86144544 is about 9281.4085137979. The cubic root of 86144544 is about 441.6476516002.

The spelling of 86144544 in words is "eighty-six million, one hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 299113 598226 897339 1196452 1794678 2392904 2692017 3589356 4785808 5384034 7178712 9571616 10768068 14357424 21536136 28714848 43072272 86144544