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450111645 = 32510002481
BaseRepresentation
bin11010110101000…
…010100010011101
31011100222001002200
4122311002202131
51410212033040
6112355242113
714103612564
oct3265024235
91140861080
10450111645
112110925a5
121068a9339
1372338769
1443acabdb
15297b1630
hex1ad4289d

450111645 has 12 divisors (see below), whose sum is σ = 780193596. Its totient is φ = 240059520.

The previous prime is 450111631. The next prime is 450111647. The reversal of 450111645 is 546111054.

450111645 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 11 + 645 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112911876 + 337199769 = 10626^2 + 18363^2 .

It is not a de Polignac number, because 450111645 - 216 = 450046109 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450111647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5001196 + ... + 5001285.

It is an arithmetic number, because the mean of its divisors is an integer number (65016133).

Almost surely, 2450111645 is an apocalyptic number.

450111645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450111645 is a deficient number, since it is larger than the sum of its proper divisors (330081951).

450111645 is a wasteful number, since it uses less digits than its factorization.

450111645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10002492 (or 10002489 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 450111645 is about 21215.8347702842. The cubic root of 450111645 is about 766.3728009433.

Adding to 450111645 its reverse (546111054), we get a palindrome (996222699).

It can be divided in two parts, 45011 and 1645, that added together give a 6-th power (46656 = 66).

The spelling of 450111645 in words is "four hundred fifty million, one hundred eleven thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 45 10002481 30007443 50012405 90022329 150037215 450111645