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1473408225 = 34528532
BaseRepresentation
bin101011111010010…
…0110110011100001
310210200110220010000
41113310212303201
511004143030400
6402112130213
751340522542
oct12764466341
93720426100
101473408225
11696778453
12351536969
131a63416b3
14dd9804c9
1589545600
hex57d26ce1

1473408225 has 45 divisors (see below), whose sum is σ = 2732464713. Its totient is φ = 784896480.

The previous prime is 1473408203. The next prime is 1473408227. The reversal of 1473408225 is 5228043741.

It is a happy number.

The square root of 1473408225 is 38385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 589178529 + 884229696 = 24273^2 + 29736^2 .

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

It is not a de Polignac number, because 1473408225 - 29 = 1473407713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1473408225.

It is not an unprimeable number, because it can be changed into a prime (1473408227) 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, 1726899 + ... + 1727751.

Almost surely, 21473408225 is an apocalyptic number.

1473408225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1473408225 is the 38385-th square number.

1473408225 is the 19193-rd centered octagonal number.

It is an amenable number.

1473408225 is a deficient number, since it is larger than the sum of its proper divisors (1259056488).

1473408225 is an frugal number, since it uses more digits than its factorization.

1473408225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The cubic root of 1473408225 is about 1137.9094303607.

Multiplying 1473408225 by its sum of digits (36), we get a square (53042696100 = 2303102).

The spelling of 1473408225 in words is "one billion, four hundred seventy-three million, four hundred eight thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 853 2025 2559 4265 7677 12795 21325 23031 38385 63975 69093 115155 191925 345465 575775 727609 1727325 2182827 3638045 6548481 10914135 18190225 19645443 32742405 54570675 58936329 98227215 163712025 294681645 491136075 1473408225