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44195625 = 365497
BaseRepresentation
bin1010100010010…
…1111100101001
310002011101000000
42220211330221
542303230000
64215133213
71044441135
oct250457451
9102141000
1044195625
1122a46911
1212974209
139205476
145c263c5
153d30000
hex2a25f29

44195625 has 70 divisors (see below), whose sum is σ = 83656034. Its totient is φ = 23328000.

The previous prime is 44195611. The next prime is 44195633. The reversal of 44195625 is 52659144.

44195625 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 5 ways, for example, as 18429849 + 25765776 = 4293^2 + 5076^2 .

It is not a de Polignac number, because 44195625 - 29 = 44195113 is a prime.

It is a Duffinian number.

Its product of digits (43200) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 44195625.

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 69 ways as a sum of consecutive naturals, for example, 455577 + ... + 455673.

Almost surely, 244195625 is an apocalyptic number.

44195625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44195625 is a deficient number, since it is larger than the sum of its proper divisors (39460409).

44195625 is an frugal number, since it uses more digits than its factorization.

44195625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 44195625 is about 6647.9790162124. The cubic root of 44195625 is about 353.5572603532.

The spelling of 44195625 in words is "forty-four million, one hundred ninety-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 97 125 135 225 243 291 375 405 485 625 675 729 873 1125 1215 1455 1875 2025 2425 2619 3375 3645 4365 5625 6075 7275 7857 10125 12125 13095 16875 18225 21825 23571 30375 36375 39285 50625 60625 65475 70713 91125 109125 117855 151875 181875 196425 327375 353565 455625 545625 589275 982125 1636875 1767825 2946375 4910625 8839125 14731875 44195625