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40513225 = 52192672
BaseRepresentation
bin1001101010001…
…0111011001001
32211020021200211
42122202323021
540332410400
64004201121
71001233234
oct232427311
984207624
1040513225
1120961205
12116991a1
13851632c
14554841b
153853dba
hex26a2ec9

40513225 has 27 divisors (see below), whose sum is σ = 53822727. Its totient is φ = 30246480.

The previous prime is 40513219. The next prime is 40513237. The reversal of 40513225 is 52231504.

Adding to 40513225 its reverse (52231504), we get a palindrome (92744729).

The square root of 40513225 is 6365.

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

40513225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14584761 + 25928464 = 3819^2 + 5092^2 .

It is not a de Polignac number, because 40513225 - 23 = 40513217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40513196 and 40513205.

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 26 ways as a sum of consecutive naturals, for example, 604642 + ... + 604708.

Almost surely, 240513225 is an apocalyptic number.

40513225 is the 6365-th square number.

40513225 is the 3183-rd centered octagonal number.

It is an amenable number.

40513225 is a deficient number, since it is larger than the sum of its proper divisors (13309502).

40513225 is an equidigital number, since it uses as much as digits as its factorization.

40513225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The cubic root of 40513225 is about 343.4516485643.

The spelling of 40513225 in words is "forty million, five hundred thirteen thousand, two hundred twenty-five".

Divisors: 1 5 19 25 67 95 335 361 475 1273 1675 1805 4489 6365 9025 22445 24187 31825 85291 112225 120935 426455 604675 1620529 2132275 8102645 40513225