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47403225 = 3852172
BaseRepresentation
bin1011010011010…
…1000011011001
310022012100000000
42310311003121
544113400400
64412003213
71113630552
oct264650331
9108170000
1047403225
1124837821
1213a60509
139a8945c
14641d329
154265600
hex2d350d9

47403225 has 81 divisors (see below), whose sum is σ = 93656797. Its totient is φ = 23794560.

The previous prime is 47403217. The next prime is 47403263. The reversal of 47403225 is 52230474.

The square root of 47403225 is 6885.

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

47403225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1108809 + 46294416 = 1053^2 + 6804^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 47403225 - 23 = 47403217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2788417 + ... + 2788433.

Almost surely, 247403225 is an apocalyptic number.

47403225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47403225 is the 6885-th square number.

47403225 is the 3443-rd centered octagonal number.

It is an amenable number.

47403225 is a deficient number, since it is larger than the sum of its proper divisors (46253572).

47403225 is an frugal number, since it uses more digits than its factorization.

47403225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The cubic root of 47403225 is about 361.9117053160.

Adding to 47403225 its reverse (52230474), we get a palindrome (99633699).

The spelling of 47403225 in words is "forty-seven million, four hundred three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 243 255 289 405 425 459 675 729 765 867 1215 1275 1377 1445 2025 2187 2295 2601 3645 3825 4131 4335 6075 6561 6885 7225 7803 10935 11475 12393 13005 18225 20655 21675 23409 32805 34425 37179 39015 54675 61965 65025 70227 103275 111537 117045 164025 185895 195075 210681 309825 351135 557685 585225 632043 929475 1053405 1755675 1896129 2788425 3160215 5267025 9480645 15801075 47403225