Search a number
-
+
3731000041 = 41593153457
BaseRepresentation
bin1101111001100010…
…1000101011101001
3100122000112102212201
43132120220223221
530120114000131
61414120140201
7161312656066
oct33630505351
910560472781
103731000041
11164506360a
12881607661
13475c88b42
1427572dc6d
1516c83b761
hexde628ae9

3731000041 has 8 divisors (see below), whose sum is σ = 3828470184. Its totient is φ = 3633838080.

The previous prime is 3731000011. The next prime is 3731000069. The reversal of 3731000041 is 1400001373.

3731000041 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 857611225 + 2873388816 = 29285^2 + 53604^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3731000041 - 229 = 3194129129 is a prime.

It is a super-2 number, since 2×37310000412 = 27840722611884003362, 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 = 3730999982 and 3731000018.

It is not an unprimeable number, because it can be changed into a prime (3731000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52416 + ... + 101041.

It is an arithmetic number, because the mean of its divisors is an integer number (478558773).

Almost surely, 23731000041 is an apocalyptic number.

It is an amenable number.

3731000041 is a deficient number, since it is larger than the sum of its proper divisors (97470143).

3731000041 is a wasteful number, since it uses less digits than its factorization.

3731000041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154091.

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 3731000041 is about 61081.9125519167. The cubic root of 3731000041 is about 1550.9879294643.

The spelling of 3731000041 in words is "three billion, seven hundred thirty-one million, forty-one", and thus it is an aban number.

Divisors: 1 41 593 24313 153457 6291737 91000001 3731000041