Search a number
-
+
63363744 = 2532220013
BaseRepresentation
bin1111000110110…
…1101010100000
311102020012201100
43301231222200
5112210114434
610142034400
71366403643
oct361555240
9142205640
1063363744
1132849134
1219278a00
1310187052
1485b5a5a
155869699
hex3c6daa0

63363744 has 36 divisors (see below), whose sum is σ = 180191466. Its totient is φ = 21121152.

The previous prime is 63363667. The next prime is 63363749. The reversal of 63363744 is 44736336.

63363744 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 only one way, i.e., 51667344 + 11696400 = 7188^2 + 3420^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 63363699 and 63363708.

It is not an unprimeable number, because it can be changed into a prime (63363749) 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 5 ways as a sum of consecutive naturals, for example, 109719 + ... + 110294.

Almost surely, 263363744 is an apocalyptic number.

It is an amenable number.

63363744 is an abundant number, since it is smaller than the sum of its proper divisors (116827722).

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

63363744 is a wasteful number, since it uses less digits than its factorization.

63363744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220029 (or 220018 counting only the distinct ones).

The product of its digits is 108864, while the sum is 36.

The square root of 63363744 is about 7960.1346722276. The cubic root of 63363744 is about 398.6700496476.

The spelling of 63363744 in words is "sixty-three million, three hundred sixty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 220013 440026 660039 880052 1320078 1760104 1980117 2640156 3520208 3960234 5280312 7040416 7920468 10560624 15840936 21121248 31681872 63363744