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460465744 = 2428779109
BaseRepresentation
bin11011011100100…
…010011001010000
31012002110002020211
4123130202121100
51420334400434
6113405213504
714260615504
oct3334423120
91162402224
10460465744
11216a14802
1210a261294
137452254b
1445224304
152a659464
hex1b722650

460465744 has 10 divisors (see below), whose sum is σ = 892152410. Its totient is φ = 230232864.

The previous prime is 460465739. The next prime is 460465751. The reversal of 460465744 is 447564064.

It can be written as a sum of positive squares in only one way, i.e., 441000000 + 19465744 = 21000^2 + 4412^2 .

It is a junction number, because it is equal to n+sod(n) for n = 460465697 and 460465706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14389539 + ... + 14389570.

It is an arithmetic number, because the mean of its divisors is an integer number (89215241).

Almost surely, 2460465744 is an apocalyptic number.

It is an amenable number.

460465744 is a deficient number, since it is larger than the sum of its proper divisors (431686666).

460465744 is a wasteful number, since it uses less digits than its factorization.

460465744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28779117 (or 28779111 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The square root of 460465744 is about 21458.4655555797. The cubic root of 460465744 is about 772.2047028910.

The spelling of 460465744 in words is "four hundred sixty million, four hundred sixty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 28779109 57558218 115116436 230232872 460465744