Search a number
-
+
63648672 = 253663007
BaseRepresentation
bin1111001011001…
…1001110100000
311102202200120020
43302303032200
5112243224142
610152113440
71402001433
oct362631640
9142680506
1063648672
1132a2320a
1219395880
1310256949
14864b81a
1558c3cec
hex3cb33a0

63648672 has 24 divisors (see below), whose sum is σ = 167078016. Its totient is φ = 21216192.

The previous prime is 63648671. The next prime is 63648677. The reversal of 63648672 is 27684636.

63648672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (63648671) 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, 331408 + ... + 331599.

It is an arithmetic number, because the mean of its divisors is an integer number (6961584).

Almost surely, 263648672 is an apocalyptic number.

It is an amenable number.

63648672 is an abundant number, since it is smaller than the sum of its proper divisors (103429344).

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

63648672 is a wasteful number, since it uses less digits than its factorization.

63648672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663020 (or 663012 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 63648672 is about 7978.0117823929. The cubic root of 63648672 is about 399.2667232511.

The spelling of 63648672 in words is "sixty-three million, six hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 663007 1326014 1989021 2652028 3978042 5304056 7956084 10608112 15912168 21216224 31824336 63648672