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4381513249 = 37217892
BaseRepresentation
bin1000001010010100…
…01001011000100001
3102022100120221020111
410011022021120201
532433131410444
62002435011321
7213402151051
oct40512113041
912270527214
104381513249
111949282833
12a23439b41
1354a98c5b9
142d7ca5561
151a99d6234
hex105289621

4381513249 has 9 divisors (see below), whose sum is σ = 4505651577. Its totient is φ = 4260711024.

The previous prime is 4381513243. The next prime is 4381513261. The reversal of 4381513249 is 9423151834.

It is a happy number.

The square root of 4381513249 is 66193.

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

4381513249 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3116430625 + 1265082624 = 55825^2 + 35568^2 .

It is not a de Polignac number, because 4381513249 - 229 = 3844642337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4381513243) 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, 2448247 + ... + 2450035.

It is an arithmetic number, because the mean of its divisors is an integer number (500627953).

Almost surely, 24381513249 is an apocalyptic number.

4381513249 is the 66193-rd square number.

4381513249 is the 33097-th centered octagonal number.

It is an amenable number.

4381513249 is a deficient number, since it is larger than the sum of its proper divisors (124138328).

4381513249 is an frugal number, since it uses more digits than its factorization.

4381513249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3652 (or 1826 counting only the distinct ones).

The product of its digits is 103680, while the sum is 40.

The cubic root of 4381513249 is about 1636.3443819675.

The spelling of 4381513249 in words is "four billion, three hundred eighty-one million, five hundred thirteen thousand, two hundred forty-nine".

Divisors: 1 37 1369 1789 66193 2449141 3200521 118419277 4381513249