Search a number
-
+
408114325 = 52171039323
BaseRepresentation
bin11000010100110…
…101010010010101
31001102221100121101
4120110311102111
51313434124300
6104255150101
713053625453
oct3024652225
91042840541
10408114325
1119a408373
12b4815331
1366722a88
143c2b79d3
1525c67b6a
hex18535495

408114325 has 24 divisors (see below), whose sum is σ = 541090368. Its totient is φ = 304270080.

The previous prime is 408114313. The next prime is 408114379. The reversal of 408114325 is 523411804.

It is not a de Polignac number, because 408114325 - 213 = 408106133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 408114293 and 408114302.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39114 + ... + 48436.

It is an arithmetic number, because the mean of its divisors is an integer number (22545432).

Almost surely, 2408114325 is an apocalyptic number.

It is an amenable number.

408114325 is a deficient number, since it is larger than the sum of its proper divisors (132976043).

408114325 is a wasteful number, since it uses less digits than its factorization.

408114325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9453 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 408114325 is about 20201.8396439532. The cubic root of 408114325 is about 741.7552229120.

The spelling of 408114325 in words is "four hundred eight million, one hundred fourteen thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 103 425 515 1751 2575 8755 9323 43775 46615 158491 233075 792455 960269 3962275 4801345 16324573 24006725 81622865 408114325