Search a number
-
+
413024125 = 5315972069
BaseRepresentation
bin11000100111100…
…011111101111101
31001210011210120211
4120213203331331
51321213233000
6104552312421
713143434653
oct3047437575
91053153524
10413024125
111a2161158
12b63a2711
1367751797
143cbd4dd3
15263d77ba
hex189e3f7d

413024125 has 16 divisors (see below), whose sum is σ = 516026160. Its totient is φ = 330052800.

The previous prime is 413024123. The next prime is 413024149. The reversal of 413024125 is 521420314.

It can be written as a sum of positive squares in 8 ways, for example, as 275360836 + 137663289 = 16594^2 + 11733^2 .

It is not a de Polignac number, because 413024125 - 21 = 413024123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413024096 and 413024105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413024123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198591 + ... + 200659.

It is an arithmetic number, because the mean of its divisors is an integer number (32251635).

Almost surely, 2413024125 is an apocalyptic number.

It is an amenable number.

413024125 is a deficient number, since it is larger than the sum of its proper divisors (103002035).

413024125 is a wasteful number, since it uses less digits than its factorization.

413024125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 413024125 is about 20322.9949810553. The cubic root of 413024125 is about 744.7179239316.

Adding to 413024125 its reverse (521420314), we get a palindrome (934444439).

The spelling of 413024125 in words is "four hundred thirteen million, twenty-four thousand, one hundred twenty-five".

Divisors: 1 5 25 125 1597 2069 7985 10345 39925 51725 199625 258625 3304193 16520965 82604825 413024125