Search a number
-
+
4147441 = 37197569
BaseRepresentation
bin1111110100100011110001
321210201012221
433310203301
52030204231
6224521041
750152444
oct17644361
97721187
104147441
112383041
121480181
13b22a0c
1479d65b
1556dd11
hex3f48f1

4147441 has 8 divisors (see below), whose sum is σ = 4288680. Its totient is φ = 4007808.

The previous prime is 4147417. The next prime is 4147457. The reversal of 4147441 is 1447414.

It can be written as a sum of positive squares in 4 ways, for example, as 1960000 + 2187441 = 1400^2 + 1479^2 .

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 4147441 - 27 = 4147313 is a prime.

It is a Duffinian number.

4147441 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (4147411) 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 7 ways as a sum of consecutive naturals, for example, 7005 + ... + 7573.

It is an arithmetic number, because the mean of its divisors is an integer number (536085).

Almost surely, 24147441 is an apocalyptic number.

It is an amenable number.

4147441 is a deficient number, since it is larger than the sum of its proper divisors (141239).

4147441 is a wasteful number, since it uses less digits than its factorization.

4147441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803.

The product of its digits is 1792, while the sum is 25.

The square root of 4147441 is about 2036.5267000459. The cubic root of 4147441 is about 160.6670200995.

The spelling of 4147441 in words is "four million, one hundred forty-seven thousand, four hundred forty-one".

Divisors: 1 37 197 569 7289 21053 112093 4147441