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63768820 = 22513032447
BaseRepresentation
bin1111001101000…
…0100011110100
311102222210101011
43303100203310
5112311100240
610154442004
71403011633
oct363204364
9142883334
1063768820
1132aa5505
1219433304
131029953b
14867d51a
1558e96ea
hex3cd08f4

63768820 has 24 divisors (see below), whose sum is σ = 134072064. Its totient is φ = 25477536.

The previous prime is 63768787. The next prime is 63768823. The reversal of 63768820 is 2886736.

It is a happy number.

63768820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63768823) 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 7 ways as a sum of consecutive naturals, for example, 24837 + ... + 27283.

It is an arithmetic number, because the mean of its divisors is an integer number (5586336).

Almost surely, 263768820 is an apocalyptic number.

It is an amenable number.

63768820 is an abundant number, since it is smaller than the sum of its proper divisors (70303244).

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

63768820 is a wasteful number, since it uses less digits than its factorization.

63768820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 63768820 is about 7985.5381784824. The cubic root of 63768820 is about 399.5177939268.

The spelling of 63768820 in words is "sixty-three million, seven hundred sixty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1303 2447 2606 4894 5212 6515 9788 12235 13030 24470 26060 48940 3188441 6376882 12753764 15942205 31884410 63768820