Search a number
-
+
441457973 = 1123648413
BaseRepresentation
bin11010010100000…
…001110100110101
31010202200101111022
4122110001310311
51401003123343
6111445550525
713640221325
oct3224016465
91122611438
10441457973
11207211a00
12103a15445
13705c8948
14428b7285
1528b52568
hex1a501d35

441457973 has 6 divisors (see below), whose sum is σ = 485239062. Its totient is φ = 401325320.

The previous prime is 441457963. The next prime is 441457979. The reversal of 441457973 is 379754144.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 417711844 + 23746129 = 20438^2 + 4873^2 .

It is not a de Polignac number, because 441457973 - 212 = 441453877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441457979) 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 in 5 ways as a sum of consecutive naturals, for example, 1824086 + ... + 1824327.

It is an arithmetic number, because the mean of its divisors is an integer number (80873177).

Almost surely, 2441457973 is an apocalyptic number.

It is an amenable number.

441457973 is a deficient number, since it is larger than the sum of its proper divisors (43781089).

441457973 is a wasteful number, since it uses less digits than its factorization.

441457973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648435 (or 3648424 counting only the distinct ones).

The product of its digits is 423360, while the sum is 44.

The square root of 441457973 is about 21010.9012895687. The cubic root of 441457973 is about 761.4296571683.

The spelling of 441457973 in words is "four hundred forty-one million, four hundred fifty-seven thousand, nine hundred seventy-three".

Divisors: 1 11 121 3648413 40132543 441457973