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463253112 = 23327919153
BaseRepresentation
bin11011100111001…
…010111001111000
31012021200200210200
4123213022321320
51422043044422
6113545042200
714323405110
oct3347127170
91167620720
10463253112
11218548a13
1210b186360
1374c8a18a
144574c040
152aa0a2ac
hex1b9cae78

463253112 has 48 divisors (see below), whose sum is σ = 1433880240. Its totient is φ = 132357888.

The previous prime is 463253107. The next prime is 463253113. The reversal of 463253112 is 211352364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463253113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459073 + ... + 460080.

It is an arithmetic number, because the mean of its divisors is an integer number (29872505).

Almost surely, 2463253112 is an apocalyptic number.

463253112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

463253112 is an abundant number, since it is smaller than the sum of its proper divisors (970627128).

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

463253112 is a wasteful number, since it uses less digits than its factorization.

463253112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919172 (or 919165 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 463253112 is about 21523.3155438469. The cubic root of 463253112 is about 773.7597154893.

The spelling of 463253112 in words is "four hundred sixty-three million, two hundred fifty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 919153 1838306 2757459 3676612 5514918 6434071 7353224 8272377 11029836 12868142 16544754 19302213 22059672 25736284 33089508 38604426 51472568 57906639 66179016 77208852 115813278 154417704 231626556 463253112