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440705525 = 52132104309
BaseRepresentation
bin11010010001001…
…010000111110101
31010201021011022212
4122101022013311
51400310034100
6111421503205
713630635521
oct3221120765
91121234285
10440705525
11206848647
12103711b05
13703c4300
144275cd81
1528a54635
hex1a44a1f5

440705525 has 18 divisors (see below), whose sum is σ = 591750630. Its totient is φ = 325440960.

The previous prime is 440705479. The next prime is 440705527. The reversal of 440705525 is 525507044.

It can be written as a sum of positive squares in 9 ways, for example, as 144624676 + 296080849 = 12026^2 + 17207^2 .

It is not a de Polignac number, because 440705525 - 216 = 440639989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 440705491 and 440705500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440705527) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47930 + ... + 56379.

It is an arithmetic number, because the mean of its divisors is an integer number (32875035).

Almost surely, 2440705525 is an apocalyptic number.

It is an amenable number.

440705525 is a deficient number, since it is larger than the sum of its proper divisors (151045105).

440705525 is a wasteful number, since it uses less digits than its factorization.

440705525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104345 (or 104327 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 440705525 is about 20992.9875196457. The cubic root of 440705525 is about 760.9968020366.

The spelling of 440705525 in words is "four hundred forty million, seven hundred five thousand, five hundred twenty-five".

Divisors: 1 5 13 25 65 169 325 845 4225 104309 521545 1356017 2607725 6780085 17628221 33900425 88141105 440705525