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416025 = 3252432
BaseRepresentation
bin1100101100100011001
3210010200100
41211210121
5101303100
612530013
73351621
oct1454431
9703610
10416025
11264625
12180909
1311748c
14ab881
1583400
hex65919

416025 has 27 divisors (see below), whose sum is σ = 762879. Its totient is φ = 216720.

The previous prime is 416023. The next prime is 416071. The reversal of 416025 is 520614.

It is a happy number.

The square root of 416025 is 645.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 149769 + 266256 = 387^2 + 516^2 .

It is not a de Polignac number, because 416025 - 21 = 416023 is a prime.

416025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 415989 and 416007.

It is not an unprimeable number, because it can be changed into a prime (416023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9654 + ... + 9696.

416025 is a Friedman number, since it can be written as 645^(2*(1+0)), using all its digits and the basic arithmetic operations.

2416025 is an apocalyptic number.

416025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

416025 is the 645-th square number.

416025 is the 323-rd centered octagonal number.

It is an amenable number.

416025 is a deficient number, since it is larger than the sum of its proper divisors (346854).

416025 is a wasteful number, since it uses less digits than its factorization.

416025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 416025 is about 74.6517185035.

Adding to 416025 its reverse (520614), we get a palindrome (936639).

The spelling of 416025 in words is "four hundred sixteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 129 215 225 387 645 1075 1849 1935 3225 5547 9245 9675 16641 27735 46225 83205 138675 416025