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286471144 = 23211116963
BaseRepresentation
bin10001000100110…
…011001111101000
3201222001020112101
4101010303033220
51041314034034
644232023144
710045651561
oct2104631750
9658036471
10286471144
11137784013
127bb31ab4
1347471c6b
142a091168
151a23a514
hex111333e8

286471144 has 16 divisors (see below), whose sum is σ = 537419520. Its totient is φ = 143159280.

The previous prime is 286471139. The next prime is 286471147. The reversal of 286471144 is 441174682.

It is a happy number.

286471144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2864711443 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (286471147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8407 + ... + 25369.

It is an arithmetic number, because the mean of its divisors is an integer number (33588720).

Almost surely, 2286471144 is an apocalyptic number.

It is an amenable number.

286471144 is a deficient number, since it is larger than the sum of its proper divisors (250948376).

286471144 is a wasteful number, since it uses less digits than its factorization.

286471144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19080 (or 19076 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 286471144 is about 16925.4584576017. The cubic root of 286471144 is about 659.2148177165.

It can be divided in two parts, 28647 and 1144, that added together give a cube (29791 = 313).

The spelling of 286471144 in words is "two hundred eighty-six million, four hundred seventy-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 2111 4222 8444 16888 16963 33926 67852 135704 35808893 71617786 143235572 286471144