Search a number
-
+
3668846041 = 721725092
BaseRepresentation
bin1101101010101110…
…0010010111011001
3100110200120200121201
43122223202113121
530003211033131
61404020034201
7156626451100
oct33253422731
910420520551
103668846041
111612a71373
12864832961
13466136623
1426b391037
15167160761
hexdaae25d9

3668846041 has 27 divisors (see below), whose sum is σ = 4542582909. Its totient is φ = 2953926528.

The previous prime is 3668846039. The next prime is 3668846047. The reversal of 3668846041 is 1406488663.

The square root of 3668846041 is 60571.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1287015625 + 2381830416 = 35875^2 + 48804^2 .

It is not a de Polignac number, because 3668846041 - 21 = 3668846039 is a prime.

It is a super-2 number, since 2×36688460412 = 26920862545122747362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3668845982 and 3668846000.

It is not an unprimeable number, because it can be changed into a prime (3668846047) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7207695 + ... + 7208203.

Almost surely, 23668846041 is an apocalyptic number.

3668846041 is the 60571-st square number.

3668846041 is the 30286-th centered octagonal number.

It is an amenable number.

3668846041 is a deficient number, since it is larger than the sum of its proper divisors (873736868).

3668846041 is an frugal number, since it uses more digits than its factorization.

3668846041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The cubic root of 3668846041 is about 1542.3271221677.

The spelling of 3668846041 in words is "three billion, six hundred sixty-eight million, eight hundred forty-six thousand, forty-one".

Divisors: 1 7 17 49 119 289 509 833 2023 3563 8653 14161 24941 60571 147101 259081 423997 1029707 1813567 4404377 7207949 12694969 30830639 74874409 215814473 524120863 3668846041