Search a number
-
+
64039968 = 2532222361
BaseRepresentation
bin1111010001001…
…0110000100000
311110111120022200
43310102300200
5112343234333
610204333200
71405221306
oct364226040
9143446280
1064039968
11331701a3
1219544200
1310362a95
148710276
15594ec13
hex3d12c20

64039968 has 36 divisors (see below), whose sum is σ = 182114478. Its totient is φ = 21346560.

The previous prime is 64039951. The next prime is 64039979. The reversal of 64039968 is 86993046.

It can be written as a sum of positive squares in only one way, i.e., 52012944 + 12027024 = 7212^2 + 3468^2 .

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

It is a super-2 number, since 2×640399682 = 8202235002882048, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 110893 + ... + 111468.

Almost surely, 264039968 is an apocalyptic number.

It is an amenable number.

64039968 is an abundant number, since it is smaller than the sum of its proper divisors (118074510).

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

64039968 is a wasteful number, since it uses less digits than its factorization.

64039968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222377 (or 222366 counting only the distinct ones).

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

The square root of 64039968 is about 8002.4976101215. The cubic root of 64039968 is about 400.0832493393.

The spelling of 64039968 in words is "sixty-four million, thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 222361 444722 667083 889444 1334166 1778888 2001249 2668332 3557776 4002498 5336664 7115552 8004996 10673328 16009992 21346656 32019984 64039968