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465264241 = 13229715581
BaseRepresentation
bin11011101110110…
…101111001110001
31012102110212112221
4123232311321301
51423101423431
6114100121041
714346452341
oct3356657161
91172425487
10465264241
112196a1a02
1210b996181
13755126b0
1445b12d21
152aca6111
hex1bbb5e71

465264241 has 8 divisors (see below), whose sum is σ = 501304104. Its totient is φ = 429260160.

The previous prime is 465264223. The next prime is 465264251. The reversal of 465264241 is 142462564.

It can be written as a sum of positive squares in 4 ways, for example, as 3186225 + 462078016 = 1785^2 + 21496^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 465264241 - 213 = 465256049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 465264197 and 465264206.

It is not an unprimeable number, because it can be changed into a prime (465264221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22071 + ... + 37651.

It is an arithmetic number, because the mean of its divisors is an integer number (62663013).

Almost surely, 2465264241 is an apocalyptic number.

It is an amenable number.

465264241 is a deficient number, since it is larger than the sum of its proper divisors (36039863).

465264241 is a wasteful number, since it uses less digits than its factorization.

465264241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17891.

The product of its digits is 46080, while the sum is 34.

The square root of 465264241 is about 21569.9847241485. The cubic root of 465264241 is about 774.8778113295.

The spelling of 465264241 in words is "four hundred sixty-five million, two hundred sixty-four thousand, two hundred forty-one".

Divisors: 1 13 2297 15581 29861 202553 35789557 465264241