Search a number
-
+
64089936 = 2432445069
BaseRepresentation
bin1111010001111…
…0111101010000
311110121002212100
43310132331100
5112401334221
610205400400
71405520061
oct364367520
9143532770
1064089936
11331a4799
1219569100
131037c751
148724568
15595e926
hex3d1ef50

64089936 has 30 divisors (see below), whose sum is σ = 179363210. Its totient is φ = 21363264.

The previous prime is 64089931. The next prime is 64089953. The reversal of 64089936 is 63998046.

It can be written as a sum of positive squares in only one way, i.e., 58614336 + 5475600 = 7656^2 + 2340^2 .

It is a junction number, because it is equal to n+sod(n) for n = 64089891 and 64089900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64089931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222391 + ... + 222678.

Almost surely, 264089936 is an apocalyptic number.

It is an amenable number.

64089936 is an abundant number, since it is smaller than the sum of its proper divisors (115273274).

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

64089936 is a wasteful number, since it uses less digits than its factorization.

64089936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445083 (or 445074 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 64089936 is about 8005.6190266587. The cubic root of 64089936 is about 400.1872789695.

It can be divided in two parts, 64089 and 936, that added together give a square (65025 = 2552).

The spelling of 64089936 in words is "sixty-four million, eighty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 445069 890138 1335207 1780276 2670414 3560552 4005621 5340828 7121104 8011242 10681656 16022484 21363312 32044968 64089936