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484395120225 = 3252463992
BaseRepresentation
bin1110000110010000011…
…00101111011001100001
31201022022022212200111100
413003020030233121201
530414020122321400
61010310020305013
746665522405132
oct7031014573141
91638268780440
10484395120225
11177481465345
1279a66b42169
13368a81b7cc3
1419632945c89
15c900b8a100
hex70c832f661

484395120225 has 27 divisors (see below), whose sum is σ = 867624181203. Its totient is φ = 258338496240.

The previous prime is 484395120211. The next prime is 484395120227. The reversal of 484395120225 is 522021593484.

The square root of 484395120225 is 695985.

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

484395120225 is a `hidden beast` number, since 4 + 8 + 439 + 5 + 1 + 202 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 174382243281 + 310012876944 = 417591^2 + 556788^2 .

It is not a de Polignac number, because 484395120225 - 25 = 484395120193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (484395120227) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10416576 + ... + 10462974.

Almost surely, 2484395120225 is an apocalyptic number.

484395120225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

484395120225 is the 695985-th square number.

484395120225 is the 347993-rd centered octagonal number.

It is an amenable number.

484395120225 is a deficient number, since it is larger than the sum of its proper divisors (383229060978).

484395120225 is an frugal number, since it uses more digits than its factorization.

484395120225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92814 (or 46407 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 484395120225 in words is "four hundred eighty-four billion, three hundred ninety-five million, one hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 46399 139197 231995 417591 695985 1159975 2087955 3479925 10439775 2152867201 6458601603 10764336005 19375804809 32293008015 53821680025 96879024045 161465040075 484395120225