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478286028 = 2232119371289
BaseRepresentation
bin11100100000100…
…001000011001100
31020022222110002100
4130200201003030
51434420123103
6115243155100
714565235623
oct3440410314
91208873070
10478286028
11225a86410
12114215a90
13781217ac
14477426ba
152bec95a3
hex1c8210cc

478286028 has 72 divisors (see below), whose sum is σ = 1321341840. Its totient is φ = 144668160.

The previous prime is 478286027. The next prime is 478286047. The reversal of 478286028 is 820682874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (478286021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370408 + ... + 371696.

It is an arithmetic number, because the mean of its divisors is an integer number (18351970).

Almost surely, 2478286028 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 478286028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660670920).

478286028 is an abundant number, since it is smaller than the sum of its proper divisors (843055812).

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

478286028 is a wasteful number, since it uses less digits than its factorization.

478286028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 478286028 is about 21869.7514389167. The cubic root of 478286028 is about 782.0404760110.

The spelling of 478286028 in words is "four hundred seventy-eight million, two hundred eighty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 937 1289 1874 2578 2811 3748 3867 5156 5622 7734 8433 10307 11244 11601 14179 15468 16866 20614 23202 28358 30921 33732 41228 42537 46404 56716 61842 85074 92763 123684 127611 170148 185526 255222 371052 510444 1207793 2415586 3623379 4831172 7246758 10870137 13285723 14493516 21740274 26571446 39857169 43480548 53142892 79714338 119571507 159428676 239143014 478286028