Search a number
-
+
81414529 = 7212892
BaseRepresentation
bin1001101101001…
…00100110000001
312200012021201221
410312210212001
5131320231104
612024555041
72006004100
oct466444601
9180167657
1081414529
1141a57a39
1223322a81
1313b371a1
14ab54037
157232c54
hex4da4981

81414529 has 9 divisors (see below), whose sum is σ = 94780227. Its totient is φ = 69729744.

The previous prime is 81414521. The next prime is 81414533. The reversal of 81414529 is 92541418.

It is a happy number.

The square root of 81414529 is 9023.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66048129 + 15366400 = 8127^2 + 3920^2 .

It is not a de Polignac number, because 81414529 - 23 = 81414521 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 81414494 and 81414503.

It is not an unprimeable number, because it can be changed into a prime (81414521) 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 in 8 ways as a sum of consecutive naturals, for example, 62517 + ... + 63805.

Almost surely, 281414529 is an apocalyptic number.

81414529 is the 9023-rd square number.

81414529 is the 4512-nd centered octagonal number.

It is an amenable number.

81414529 is a deficient number, since it is larger than the sum of its proper divisors (13365698).

81414529 is an frugal number, since it uses more digits than its factorization.

81414529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 1296 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The cubic root of 81414529 is about 433.4117072575.

The spelling of 81414529 in words is "eighty-one million, four hundred fourteen thousand, five hundred twenty-nine".

Divisors: 1 7 49 1289 9023 63161 1661521 11630647 81414529