Search a number
-
+
64643536 = 249294349
BaseRepresentation
bin1111011010011…
…0000111010000
311111122020021001
43312212013100
5113022043121
610225311344
71413314056
oct366460720
9144566231
1064643536
1133542711
1219795554
1310514719
14882a1d6
155a1d991
hex3da61d0

64643536 has 20 divisors (see below), whose sum is σ = 125410500. Its totient is φ = 32279552.

The previous prime is 64643531. The next prime is 64643539. The reversal of 64643536 is 63534646.

64643536 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 2 ways, for example, as 1345600 + 63297936 = 1160^2 + 7956^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64643495 and 64643504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64643531) 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, 12690 + ... + 17038.

It is an arithmetic number, because the mean of its divisors is an integer number (6270525).

Almost surely, 264643536 is an apocalyptic number.

It is an amenable number.

64643536 is a deficient number, since it is larger than the sum of its proper divisors (60766964).

64643536 is a wasteful number, since it uses less digits than its factorization.

64643536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5280 counting only the distinct ones).

The product of its digits is 155520, while the sum is 37.

The square root of 64643536 is about 8040.1203971085. The cubic root of 64643536 is about 401.3362312446.

It can be divided in two parts, 6464 and 3536, that added together give a 4-th power (10000 = 104).

The spelling of 64643536 in words is "sixty-four million, six hundred forty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 929 1858 3716 4349 7432 8698 14864 17396 34792 69584 4040221 8080442 16160884 32321768 64643536