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47250945 = 345722381
BaseRepresentation
bin1011010000111…
…1111000000001
310021220121010000
42310033320001
544044012240
64404430213
71112424600
oct264177001
9107817100
1047250945
1124743375
12139a8369
139a35051
1463bda37
154235430
hex2d0fe01

47250945 has 60 divisors (see below), whose sum is σ = 98571924. Its totient is φ = 21591360.

The previous prime is 47250911. The next prime is 47250949. The reversal of 47250945 is 54905274.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 42107121 = 2268^2 + 6489^2 .

It is not a de Polignac number, because 47250945 - 26 = 47250881 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (47250949) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18655 + ... + 21035.

Almost surely, 247250945 is an apocalyptic number.

47250945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

47250945 is the 3969-th octagonal number.

It is an amenable number.

47250945 is an abundant number, since it is smaller than the sum of its proper divisors (51320979).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

47250945 is a wasteful number, since it uses less digits than its factorization.

47250945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 47250945 is about 6873.9322807255. The cubic root of 47250945 is about 361.5237497525.

The spelling of 47250945 in words is "forty-seven million, two hundred fifty thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2381 2835 3969 6615 7143 11905 16667 19845 21429 35715 50001 64287 83335 107145 116669 150003 192861 250005 321435 350007 450009 583345 750015 964305 1050021 1350027 1750035 2250045 3150063 5250105 6750135 9450189 15750315 47250945