Search a number
-
+
36993049 is a prime number
BaseRepresentation
bin1000110100011…
…1100000011001
32120121102220221
42031013200121
533432234144
63400520041
7626302312
oct215074031
976542827
1036993049
1119977475
1210480021
137882ca2
144cad609
1533aad84
hex2347819

36993049 has 2 divisors, whose sum is σ = 36993050. Its totient is φ = 36993048.

The previous prime is 36993031. The next prime is 36993079. The reversal of 36993049 is 94039963.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33120025 + 3873024 = 5755^2 + 1968^2 .

It is an emirp because it is prime and its reverse (94039963) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36993049 - 215 = 36960281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 36992996 and 36993014.

It is not a weakly prime, because it can be changed into another prime (36993079) 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, 18496524 + 18496525.

It is an arithmetic number, because the mean of its divisors is an integer number (18496525).

Almost surely, 236993049 is an apocalyptic number.

It is an amenable number.

36993049 is a deficient number, since it is larger than the sum of its proper divisors (1).

36993049 is an equidigital number, since it uses as much as digits as its factorization.

36993049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 43.

The square root of 36993049 is about 6082.1911347803. The cubic root of 36993049 is about 333.2013169441.

The spelling of 36993049 in words is "thirty-six million, nine hundred ninety-three thousand, forty-nine".