Search a number
-
+
49037 is a prime number
BaseRepresentation
bin1011111110001101
32111021012
423332031
53032122
61015005
7262652
oct137615
974235
1049037
113392a
1224465
1319421
1413c29
15e7e2
hexbf8d

49037 has 2 divisors, whose sum is σ = 49038. Its totient is φ = 49036.

The previous prime is 49033. The next prime is 49043. The reversal of 49037 is 73094.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48841 + 196 = 221^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 49037 - 22 = 49033 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49037.

It is not a weakly prime, because it can be changed into another prime (49031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 24518 + 24519.

It is an arithmetic number, because the mean of its divisors is an integer number (24519).

249037 is an apocalyptic number.

It is an amenable number.

49037 is a deficient number, since it is larger than the sum of its proper divisors (1).

49037 is an equidigital number, since it uses as much as digits as its factorization.

49037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 49037 is about 221.4429949219. The cubic root of 49037 is about 36.6022652803.

The spelling of 49037 in words is "forty-nine thousand, thirty-seven".