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463056464 = 24135214273
BaseRepresentation
bin11011100110011…
…010111001010000
31012021022201001102
4123212122321100
51422020301324
6113540523532
714321625563
oct3346327120
91167281042
10463056464
112184241a2
1210b0b05a8
1374c1b810
14456da4da
152a9bbdae
hex1b99ae50

463056464 has 40 divisors (see below), whose sum is σ = 968266152. Its totient is φ = 213258240.

The previous prime is 463056437. The next prime is 463056479. The reversal of 463056464 is 464650364.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 462400 + 462594064 = 680^2 + 21508^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106232 + ... + 110504.

Almost surely, 2463056464 is an apocalyptic number.

It is an amenable number.

463056464 is an abundant number, since it is smaller than the sum of its proper divisors (505209688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463056464 is a wasteful number, since it uses less digits than its factorization.

463056464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4815 (or 4809 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The square root of 463056464 is about 21518.7468036594. The cubic root of 463056464 is about 773.6502146342.

The spelling of 463056464 in words is "four hundred sixty-three million, fifty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 521 1042 2084 4168 4273 6773 8336 8546 13546 17092 27092 34184 54184 55549 68368 108368 111098 222196 444392 888784 2226233 4452466 8904932 17809864 28941029 35619728 57882058 115764116 231528232 463056464