Search a number
-
+
61460033 is a prime number
BaseRepresentation
bin1110101001110…
…0111001000001
311021122111022112
43222130321001
5111213210113
610033145105
71344254525
oct352347101
9137574275
1061460033
1131768918
12186bb195
13c96b6ab
14823bd85
1555e05a8
hex3a9ce41

61460033 has 2 divisors, whose sum is σ = 61460034. Its totient is φ = 61460032.

The previous prime is 61460027. The next prime is 61460053. The reversal of 61460033 is 33006416.

61460033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60715264 + 744769 = 7792^2 + 863^2 .

It is a cyclic number.

It is not a de Polignac number, because 61460033 - 222 = 57265729 is a prime.

It is a super-2 number, since 2×614600332 = 7554671312722178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61459990 and 61460008.

It is not a weakly prime, because it can be changed into another prime (61460053) 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, 30730016 + 30730017.

It is an arithmetic number, because the mean of its divisors is an integer number (30730017).

Almost surely, 261460033 is an apocalyptic number.

It is an amenable number.

61460033 is a deficient number, since it is larger than the sum of its proper divisors (1).

61460033 is an equidigital number, since it uses as much as digits as its factorization.

61460033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 61460033 is about 7839.6449536953. The cubic root of 61460033 is about 394.6368140611.

Adding to 61460033 its reverse (33006416), we get a palindrome (94466449).

The spelling of 61460033 in words is "sixty-one million, four hundred sixty thousand, thirty-three".