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63528064 = 27496313
BaseRepresentation
bin1111001001010…
…1110010000000
311102112120010021
43302111302000
5112230344224
610145343224
71400660005
oct362256200
9142476107
1063528064
1132950636
1219337b14
1310213a92
1486198ac
15589d1e4
hex3c95c80

63528064 has 16 divisors (see below), whose sum is σ = 126560070. Its totient is φ = 31763968.

The previous prime is 63528061. The next prime is 63528097. The reversal of 63528064 is 46082536.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 63361600 + 166464 = 7960^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (63528061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 248029 + ... + 248284.

Almost surely, 263528064 is an apocalyptic number.

63528064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

63528064 is a deficient number, since it is larger than the sum of its proper divisors (63032006).

63528064 is an equidigital number, since it uses as much as digits as its factorization.

63528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496327 (or 496315 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 63528064 is about 7970.4494227114. The cubic root of 63528064 is about 399.0143733450.

The spelling of 63528064 in words is "sixty-three million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 496313 992626 1985252 3970504 7941008 15882016 31764032 63528064