Search a number
-
+
80417441 = 1331241157
BaseRepresentation
bin1001100101100…
…01001010100001
312121022121222202
410302301022201
5131041324231
611551342545
71664352116
oct462611241
9177277882
1080417441
11414368a5
1222b21a55
13138783b0
14a97490d
1570d75cb
hex4cb12a1

80417441 has 24 divisors (see below), whose sum is σ = 92253672. Its totient is φ = 69638400.

The previous prime is 80417437. The next prime is 80417461. The reversal of 80417441 is 14471408.

It can be written as a sum of positive squares in 4 ways, for example, as 2907025 + 77510416 = 1705^2 + 8804^2 .

It is not a de Polignac number, because 80417441 - 22 = 80417437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80417431) 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 23 ways as a sum of consecutive naturals, for example, 512135 + ... + 512291.

It is an arithmetic number, because the mean of its divisors is an integer number (3843903).

Almost surely, 280417441 is an apocalyptic number.

It is an amenable number.

80417441 is a deficient number, since it is larger than the sum of its proper divisors (11836231).

80417441 is a wasteful number, since it uses less digits than its factorization.

80417441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 80417441 is about 8967.5772090348. The cubic root of 80417441 is about 431.6350960216.

Adding to 80417441 its reverse (14471408), we get a palindrome (94888849).

The spelling of 80417441 in words is "eighty million, four hundred seventeen thousand, four hundred forty-one".

Divisors: 1 13 31 41 157 403 533 961 1271 2041 4867 6437 12493 16523 39401 63271 83681 150877 199547 512213 1961401 2594111 6185957 80417441