Search a number
-
+
424911825 = 34521316141
BaseRepresentation
bin11001010100111…
…010001111010001
31002121112202110000
4121110322033101
51332234134300
6110055200213
713346455662
oct3124721721
91077482400
10424911825
111a89405a8
12ba376069
136a054620
144060b369
1527484c00
hex1953a3d1

424911825 has 60 divisors (see below), whose sum is σ = 847680988. Its totient is φ = 209174400.

The previous prime is 424911797. The next prime is 424911827. The reversal of 424911825 is 528119424.

It can be written as a sum of positive squares in 6 ways, for example, as 59490369 + 365421456 = 7713^2 + 19116^2 .

It is a de Polignac number, because none of the positive numbers 2k-424911825 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 424911825.

It is not an unprimeable number, because it can be changed into a prime (424911827) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18255 + ... + 34395.

Almost surely, 2424911825 is an apocalyptic number.

424911825 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

424911825 is a deficient number, since it is larger than the sum of its proper divisors (422769163).

424911825 is a wasteful number, since it uses less digits than its factorization.

424911825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16176 (or 16162 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 424911825 is about 20613.3894592811. The cubic root of 424911825 is about 751.7952991058.

The spelling of 424911825 in words is "four hundred twenty-four million, nine hundred eleven thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 195 225 325 351 405 585 675 975 1053 1755 2025 2925 5265 8775 16141 26325 48423 80705 145269 209833 242115 403525 435807 629499 726345 1049165 1210575 1307421 1888497 2179035 3147495 3631725 5245825 5665491 6537105 9442485 10895175 15737475 16996473 28327455 32685525 47212425 84982365 141637275 424911825