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465243201 = 32296772633
BaseRepresentation
bin11011101110110…
…000110001000001
31012102102210200200
4123232300301001
51423100240301
6114055435413
714346334113
oct3356606101
91172383620
10465243201
11219688115
1210b985b69
1375505c47
1445b093b3
152ac9ec86
hex1bbb0c41

465243201 has 24 divisors (see below), whose sum is σ = 696482280. Its totient is φ = 298910976.

The previous prime is 465243197. The next prime is 465243203. The reversal of 465243201 is 102342564.

465243201 is a `hidden beast` number, since 4 + 652 + 4 + 3 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137452176 + 327791025 = 11724^2 + 18105^2 .

It is not a de Polignac number, because 465243201 - 22 = 465243197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465243203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175381 + ... + 178013.

It is an arithmetic number, because the mean of its divisors is an integer number (29020095).

Almost surely, 2465243201 is an apocalyptic number.

It is an amenable number.

465243201 is a deficient number, since it is larger than the sum of its proper divisors (231239079).

465243201 is a wasteful number, since it uses less digits than its factorization.

465243201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 465243201 is about 21569.4970038710. The cubic root of 465243201 is about 774.8661307450.

Adding to 465243201 its reverse (102342564), we get a palindrome (567585765).

The spelling of 465243201 in words is "four hundred sixty-five million, two hundred forty-three thousand, two hundred one".

Divisors: 1 3 9 29 87 261 677 2031 2633 6093 7899 19633 23697 58899 76357 176697 229071 687213 1782541 5347623 16042869 51693689 155081067 465243201