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390392505 = 32517975261
BaseRepresentation
bin10111010001001…
…110101010111001
31000012120222211200
4113101032222321
51244420030010
6102423244413
712450165366
oct2721165271
91005528750
10390392505
11190403738
12aa8a9709
1362b595a9
1439bc346d
1524416cc0
hex1744eab9

390392505 has 48 divisors (see below), whose sum is σ = 724009104. Its totient is φ = 193904640.

The previous prime is 390392503. The next prime is 390392521. The reversal of 390392505 is 505293093.

It can be written as a sum of positive squares in 8 ways, for example, as 12362256 + 378030249 = 3516^2 + 19443^2 .

It is not a de Polignac number, because 390392505 - 21 = 390392503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 390392505.

It is not an unprimeable number, because it can be changed into a prime (390392503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71575 + ... + 76835.

It is an arithmetic number, because the mean of its divisors is an integer number (15083523).

Almost surely, 2390392505 is an apocalyptic number.

It is an amenable number.

390392505 is a deficient number, since it is larger than the sum of its proper divisors (333616599).

390392505 is a wasteful number, since it uses less digits than its factorization.

390392505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5386 (or 5383 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 390392505 is about 19758.3527906554. The cubic root of 390392505 is about 730.8593776099.

The spelling of 390392505 in words is "three hundred ninety million, three hundred ninety-two thousand, five hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 97 153 255 291 485 765 873 1455 1649 4365 4947 5261 8245 14841 15783 24735 26305 47349 74205 78915 89437 236745 268311 447185 510317 804933 1341555 1530951 2551585 4024665 4592853 7654755 8675389 22964265 26026167 43376945 78078501 130130835 390392505