Search a number
-
+
64763712 = 263413312
BaseRepresentation
bin1111011100001…
…1011101000000
311111212100010000
43313003131000
5113034414322
610232040000
71414324326
oct367033500
9144770100
1064763712
1133614a32
1219833000
1310557330
14885bd16
155a443ac
hex3dc3740

64763712 has 210 divisors, whose sum is σ = 213632034. Its totient is φ = 19284480.

The previous prime is 64763711. The next prime is 64763731. The reversal of 64763712 is 21736746.

64763712 is a `hidden beast` number, since 6 + 4 + 7 + 637 + 12 = 666.

64763712 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., 44836416 + 19927296 = 6696^2 + 4464^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (42336) is a multiple of the sum of its prime divisors (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64763711) 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 29 ways as a sum of consecutive naturals, for example, 2089137 + ... + 2089167.

Almost surely, 264763712 is an apocalyptic number.

64763712 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64763712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106816017).

64763712 is an abundant number, since it is smaller than the sum of its proper divisors (148868322).

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

64763712 is a wasteful number, since it uses less digits than its factorization.

64763712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 49 counting only the distinct ones).

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

The square root of 64763712 is about 8047.5904468356. The cubic root of 64763712 is about 401.5847795589.

The spelling of 64763712 in words is "sixty-four million, seven hundred sixty-three thousand, seven hundred twelve".