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63629728 = 254742307
BaseRepresentation
bin1111001010111…
…0100110100000
311102201201120121
43302232212200
5112242122403
610151450024
71401562261
oct362564640
9142651517
1063629728
1132a0aa58
1219386914
131024b136
148644968
1558bd3bd
hex3cae9a0

63629728 has 24 divisors (see below), whose sum is σ = 127939392. Its totient is φ = 31137216.

The previous prime is 63629717. The next prime is 63629729. The reversal of 63629728 is 82792636.

63629728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (63629729) by changing a digit.

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, 19650 + ... + 22657.

It is an arithmetic number, because the mean of its divisors is an integer number (5330808).

Almost surely, 263629728 is an apocalyptic number.

It is an amenable number.

63629728 is an abundant number, since it is smaller than the sum of its proper divisors (64309664).

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

63629728 is a wasteful number, since it uses less digits than its factorization.

63629728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42364 (or 42356 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 63629728 is about 7976.8244308121. The cubic root of 63629728 is about 399.2271075550.

The spelling of 63629728 in words is "sixty-three million, six hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 42307 84614 169228 338456 676912 1353824 1988429 3976858 7953716 15907432 31814864 63629728