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450656505 = 32513770353
BaseRepresentation
bin11010110111000…
…111100011111001
31011101222201111200
4122313013203321
51410332002010
6112415044413
714111342235
oct3267074371
91141881450
10450656505
112114249a2
12106b10709
1372499770
1443bcd5c5
152986ccc0
hex1adc78f9

450656505 has 24 divisors (see below), whose sum is σ = 841226568. Its totient is φ = 221861376.

The previous prime is 450656489. The next prime is 450656513. The reversal of 450656505 is 505656054.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26749584 + 423906921 = 5172^2 + 20589^2 .

It is not a de Polignac number, because 450656505 - 24 = 450656489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 450656505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384592 + ... + 385761.

It is an arithmetic number, because the mean of its divisors is an integer number (35051107).

Almost surely, 2450656505 is an apocalyptic number.

450656505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450656505 is a deficient number, since it is larger than the sum of its proper divisors (390570063).

450656505 is a wasteful number, since it uses less digits than its factorization.

450656505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770377 (or 770374 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 450656505 is about 21228.6717672114. The cubic root of 450656505 is about 766.6819075945.

The spelling of 450656505 in words is "four hundred fifty million, six hundred fifty-six thousand, five hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 770353 2311059 3851765 6933177 10014589 11555295 30043767 34665885 50072945 90131301 150218835 450656505