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863478225 = 34526532
BaseRepresentation
bin110011011101111…
…010000111010001
32020011210020110000
4303131322013101
53232022300400
6221403200213
730253305141
oct6335720721
92204706400
10863478225
11403457a75
12201216069
13109b7a07c
1482970921
1550c15600
hex3377a1d1

863478225 has 45 divisors (see below), whose sum is σ = 1601913313. Its totient is φ = 459816480.

The previous prime is 863478223. The next prime is 863478251. The reversal of 863478225 is 522874368.

The square root of 863478225 is 29385.

It is a perfect power (a square), and thus also a powerful number.

863478225 is a `hidden beast` number, since 8 + 634 + 7 + 8 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146095569 + 717382656 = 12087^2 + 26784^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 863478225 - 21 = 863478223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (863478223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1321999 + ... + 1322651.

Almost surely, 2863478225 is an apocalyptic number.

863478225 is the 29385-th square number.

863478225 is the 14693-rd centered octagonal number.

It is an amenable number.

863478225 is a deficient number, since it is larger than the sum of its proper divisors (738435088).

863478225 is an frugal number, since it uses more digits than its factorization.

863478225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 661 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The cubic root of 863478225 is about 952.2488642894.

The spelling of 863478225 in words is "eight hundred sixty-three million, four hundred seventy-eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 653 675 1959 2025 3265 5877 9795 16325 17631 29385 48975 52893 88155 146925 264465 426409 440775 1279227 1322325 2132045 3837681 6396135 10660225 11513043 19188405 31980675 34539129 57565215 95942025 172695645 287826075 863478225