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385923413 is a prime number
BaseRepresentation
bin10111000000001…
…011100101010101
3222220011221101202
4113000023211111
51242244022123
6102143402245
712364203101
oct2700134525
9886157352
10385923413
11188930a77
12a92b3385
1361c53365
143937c901
1523d32a28
hex1700b955

385923413 has 2 divisors, whose sum is σ = 385923414. Its totient is φ = 385923412.

The previous prime is 385923407. The next prime is 385923451. The reversal of 385923413 is 314329583.

It is an a-pointer prime, because the next prime (385923451) can be obtained adding 385923413 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339370084 + 46553329 = 18422^2 + 6823^2 .

It is a cyclic number.

It is not a de Polignac number, because 385923413 - 24 = 385923397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (385923403) by changing a digit.

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 as a sum of consecutive naturals, namely, 192961706 + 192961707.

It is an arithmetic number, because the mean of its divisors is an integer number (192961707).

Almost surely, 2385923413 is an apocalyptic number.

It is an amenable number.

385923413 is a deficient number, since it is larger than the sum of its proper divisors (1).

385923413 is an equidigital number, since it uses as much as digits as its factorization.

385923413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 77760, while the sum is 38.

The square root of 385923413 is about 19644.9335198672. The cubic root of 385923413 is about 728.0597836878.

It can be divided in two parts, 3859 and 23413, that added together give a palindrome (27272).

The spelling of 385923413 in words is "three hundred eighty-five million, nine hundred twenty-three thousand, four hundred thirteen".