Search a number
-
+
36482977 is a prime number
BaseRepresentation
bin1000101100101…
…0111110100001
32112122112020101
42023022332201
533314423402
63341542401
7622046236
oct213127641
975575211
1036482977
1119659223
1210274a01
137734a7b
144bb978d
153309b87
hex22cafa1

36482977 has 2 divisors, whose sum is σ = 36482978. Its totient is φ = 36482976.

The previous prime is 36482947. The next prime is 36482993. The reversal of 36482977 is 77928463.

36482977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36469521 + 13456 = 6039^2 + 116^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36482977 is a prime.

It is a super-2 number, since 2×364829772 = 2662015221565058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (36482947) 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, 18241488 + 18241489.

It is an arithmetic number, because the mean of its divisors is an integer number (18241489).

Almost surely, 236482977 is an apocalyptic number.

It is an amenable number.

36482977 is a deficient number, since it is larger than the sum of its proper divisors (1).

36482977 is an equidigital number, since it uses as much as digits as its factorization.

36482977 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 508032, while the sum is 46.

The square root of 36482977 is about 6040.1139889906. The cubic root of 36482977 is about 331.6627951143.

The spelling of 36482977 in words is "thirty-six million, four hundred eighty-two thousand, nine hundred seventy-seven".