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4538043225 = 36524992
BaseRepresentation
bin1000011100111110…
…10000101101011001
3102201021010111000000
410032133100231121
533243214340400
62030150003213
7220312505502
oct41637205531
912637114000
104538043225
111a19675051
12a67946509
135742367a1
143109adba9
151b8605600
hex10e7d0b59

4538043225 has 63 divisors (see below), whose sum is σ = 8453842383. Its totient is φ = 2415439440.

The previous prime is 4538043199. The next prime is 4538043241. The reversal of 4538043225 is 5223408354.

The square root of 4538043225 is 67365.

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

It can be written as a sum of positive squares in only one way, i.e., 1633695561 + 2904347664 = 40419^2 + 53892^2 .

It is not a de Polignac number, because 4538043225 - 25 = 4538043193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4538043225.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 9094026 + ... + 9094524.

Almost surely, 24538043225 is an apocalyptic number.

4538043225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4538043225 is the 67365-th square number.

4538043225 is the 33683-rd centered octagonal number.

It is an amenable number.

4538043225 is a deficient number, since it is larger than the sum of its proper divisors (3915799158).

4538043225 is an frugal number, since it uses more digits than its factorization.

4538043225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The cubic root of 4538043225 is about 1655.6030180270.

Multiplying 4538043225 by its sum of digits (36), we get a square (163369556100 = 4041902).

The spelling of 4538043225 in words is "four billion, five hundred thirty-eight million, forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 499 675 729 1215 1497 2025 2495 3645 4491 6075 7485 12475 13473 18225 22455 37425 40419 67365 112275 121257 202095 249001 336825 363771 606285 747003 1010475 1245005 1818855 2241009 3031425 3735015 6225025 6723027 9094275 11205045 18675075 20169081 33615135 56025225 60507243 100845405 168075675 181521729 302536215 504227025 907608645 1512681075 4538043225