Search a number
-
+
4419405 = 3251753109
BaseRepresentation
bin10000110110111101001101
322022112021200
4100312331031
52112410110
6234420113
752364364
oct20667515
98275250
104419405
112549401
121591639
13bb9743
148307db
155c46c0
hex436f4d

4419405 has 48 divisors (see below), whose sum is σ = 8339760. Its totient is φ = 2156544.

The previous prime is 4419383. The next prime is 4419407. The reversal of 4419405 is 5049144.

It can be written as a sum of positive squares in 8 ways, for example, as 367236 + 4052169 = 606^2 + 2013^2 .

It is not a de Polignac number, because 4419405 - 26 = 4419341 is a prime.

It is a super-2 number, since 2×44194052 = 39062281108050, which contains 22 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4419407) 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 47 ways as a sum of consecutive naturals, for example, 40491 + ... + 40599.

It is an arithmetic number, because the mean of its divisors is an integer number (173745).

Almost surely, 24419405 is an apocalyptic number.

4419405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4419405 is a deficient number, since it is larger than the sum of its proper divisors (3920355).

4419405 is a wasteful number, since it uses less digits than its factorization.

4419405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4419405 is about 2102.2380930808. The cubic root of 4419405 is about 164.1047937220.

The spelling of 4419405 in words is "four million, four hundred nineteen thousand, four hundred five".

Divisors: 1 3 5 9 15 17 45 51 53 85 109 153 159 255 265 327 477 545 765 795 901 981 1635 1853 2385 2703 4505 4905 5559 5777 8109 9265 13515 16677 17331 27795 28885 40545 51993 83385 86655 98209 259965 294627 491045 883881 1473135 4419405