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424145205 = 325114120899
BaseRepresentation
bin11001010001111…
…111000100110101
31002120002210211200
4121101333010311
51332040121310
6110030523113
713340113641
oct3121770465
91076083750
10424145205
111a8467630
12ba066499
1369b466c3
144048bc21
15273829c0
hex1947f135

424145205 has 48 divisors (see below), whose sum is σ = 821620800. Its totient is φ = 200620800.

The previous prime is 424145191. The next prime is 424145209. The reversal of 424145205 is 502541424.

424145205 is a `hidden beast` number, since 42 + 414 + 5 + 205 = 666.

It is not a de Polignac number, because 424145205 - 210 = 424144181 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424145209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9846 + ... + 30744.

It is an arithmetic number, because the mean of its divisors is an integer number (17117100).

Almost surely, 2424145205 is an apocalyptic number.

424145205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424145205 is a deficient number, since it is larger than the sum of its proper divisors (397475595).

424145205 is a wasteful number, since it uses less digits than its factorization.

424145205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20962 (or 20959 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 424145205 is about 20594.7858692437. The cubic root of 424145205 is about 751.3429007217.

Adding to 424145205 its reverse (502541424), we get a palindrome (926686629).

The spelling of 424145205 in words is "four hundred twenty-four million, one hundred forty-five thousand, two hundred five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 123 165 205 369 451 495 615 1353 1845 2255 4059 6765 20295 20899 62697 104495 188091 229889 313485 689667 856859 940455 1149445 2069001 2570577 3448335 4284295 7711731 9425449 10345005 12852885 28276347 38558655 47127245 84829041 141381735 424145205