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63764032 = 266116333
BaseRepresentation
bin1111001100111…
…1011001000000
311102222112210211
43303033121000
5112310422112
610154403504
71402661653
oct363173100
9142875724
1063764032
1132aa1952
1219430594
13102972c7
14867b89a
1558e80a7
hex3ccf640

63764032 has 28 divisors (see below), whose sum is σ = 128613916. Its totient is φ = 31357440.

The previous prime is 63764023. The next prime is 63764053. The reversal of 63764032 is 23046736.

63764032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3297856 + 60466176 = 1816^2 + 7776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63763985 and 63764003.

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 in 3 ways as a sum of consecutive naturals, for example, 4263 + ... + 12070.

Almost surely, 263764032 is an apocalyptic number.

It is an amenable number.

63764032 is an abundant number, since it is smaller than the sum of its proper divisors (64849884).

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

63764032 is a wasteful number, since it uses less digits than its factorization.

63764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16406 (or 16396 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 31.

The square root of 63764032 is about 7985.2383809126. The cubic root of 63764032 is about 399.5077945830.

The spelling of 63764032 in words is "sixty-three million, seven hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1952 3904 16333 32666 65332 130664 261328 522656 996313 1045312 1992626 3985252 7970504 15941008 31882016 63764032