Search a number
-
+
382145833 is a prime number
BaseRepresentation
bin10110110001110…
…001010100101001
3222122002000112101
4112301301110221
51240312131313
6101530413401
712320120536
oct2661612451
9878060471
10382145833
11186790903
12a7b91261
136122cac4
1438a77d8d
15238385dd
hex16c71529

382145833 has 2 divisors, whose sum is σ = 382145834. Its totient is φ = 382145832.

The previous prime is 382145809. The next prime is 382145849. The reversal of 382145833 is 338541283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 375855769 + 6290064 = 19387^2 + 2508^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-382145833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 382145792 and 382145801.

It is not a weakly prime, because it can be changed into another prime (382140833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 191072916 + 191072917.

It is an arithmetic number, because the mean of its divisors is an integer number (191072917).

Almost surely, 2382145833 is an apocalyptic number.

It is an amenable number.

382145833 is a deficient number, since it is larger than the sum of its proper divisors (1).

382145833 is an equidigital number, since it uses as much as digits as its factorization.

382145833 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69120, while the sum is 37.

The square root of 382145833 is about 19548.5506623893. The cubic root of 382145833 is about 725.6764723761.

The spelling of 382145833 in words is "three hundred eighty-two million, one hundred forty-five thousand, eight hundred thirty-three".