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414244025 = 52135324049
BaseRepresentation
bin11000101100001…
…101110010111001
31001212110202222022
4120230031302321
51322021302100
6105034404225
713160005346
oct3054156271
91055422868
10414244025
111a2914738
12b6890675
1367a8ab10
143d0317cd
1526578e85
hex18b0dcb9

414244025 has 24 divisors (see below), whose sum is σ = 563635800. Its totient is φ = 300119040.

The previous prime is 414244009. The next prime is 414244027. The reversal of 414244025 is 520442414.

It can be written as a sum of positive squares in 12 ways, for example, as 139877929 + 274366096 = 11827^2 + 16564^2 .

It is not a de Polignac number, because 414244025 - 24 = 414244009 is a prime.

It is a super-2 number, since 2×4142440252 = 343196224496401250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414243985 and 414244003.

It is not an unprimeable number, because it can be changed into a prime (414244027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5201 + ... + 29249.

It is an arithmetic number, because the mean of its divisors is an integer number (23484825).

Almost surely, 2414244025 is an apocalyptic number.

It is an amenable number.

414244025 is a deficient number, since it is larger than the sum of its proper divisors (149391775).

414244025 is a wasteful number, since it uses less digits than its factorization.

414244025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24125 (or 24120 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 414244025 is about 20352.9856532156. The cubic root of 414244025 is about 745.4503980422.

Adding to 414244025 its reverse (520442414), we get a palindrome (934686439).

The spelling of 414244025 in words is "four hundred fourteen million, two hundred forty-four thousand, twenty-five".

Divisors: 1 5 13 25 53 65 265 325 689 1325 3445 17225 24049 120245 312637 601225 1274597 1563185 6372985 7815925 16569761 31864925 82848805 414244025