Search a number
-
+
63027738 = 23217281733
BaseRepresentation
bin1111000001101…
…1101000011010
311101121010210200
43300123220122
5112113341423
610130523030
71363504224
oct360335032
9141533720
1063027738
1132639744
1219136476
131009a127
148529414
1557eed43
hex3c1ba1a

63027738 has 48 divisors (see below), whose sum is σ = 145305576. Its totient is φ = 19676160.

The previous prime is 63027733. The next prime is 63027739. The reversal of 63027738 is 83772036.

63027738 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 4 ways, for example, as 61355889 + 1671849 = 7833^2 + 1293^2 .

It is a super-3 number, since 3×630277383 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63027733) 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 23 ways as a sum of consecutive naturals, for example, 85620 + ... + 86352.

Almost surely, 263027738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63027738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72652788).

63027738 is an abundant number, since it is smaller than the sum of its proper divisors (82277838).

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

63027738 is a wasteful number, since it uses less digits than its factorization.

63027738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 63027738 is about 7939.0010706637. The cubic root of 63027738 is about 397.9641096227.

The spelling of 63027738 in words is "sixty-three million, twenty-seven thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 281 306 562 733 843 1466 1686 2199 2529 4398 4777 5058 6597 9554 12461 13194 14331 24922 28662 37383 42993 74766 85986 112149 205973 224298 411946 617919 1235838 1853757 3501541 3707514 7003082 10504623 21009246 31513869 63027738