Search a number
-
+
64045312 = 281012477
BaseRepresentation
bin1111010001010…
…0000100000000
311110111211122121
43310110010000
5112343422222
610204414024
71405243012
oct364240400
9143454577
1064045312
1133174211
1219547314
1310365346
1487121b2
1559515c7
hex3d14100

64045312 has 36 divisors (see below), whose sum is σ = 129158316. Its totient is φ = 31692800.

The previous prime is 64045277. The next prime is 64045343. The reversal of 64045312 is 21354046.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 14258176 = 7056^2 + 3776^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24618 + ... + 27094.

It is an arithmetic number, because the mean of its divisors is an integer number (3587731).

Almost surely, 264045312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579158).

64045312 is an abundant number, since it is smaller than the sum of its proper divisors (65113004).

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

64045312 is a wasteful number, since it uses less digits than its factorization.

64045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 64045312 is about 8002.8314989134. The cubic root of 64045312 is about 400.0943777304.

Adding to 64045312 its reverse (21354046), we get a palindrome (85399358).

The spelling of 64045312 in words is "sixty-four million, forty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 256 404 808 1616 2477 3232 4954 6464 9908 12928 19816 25856 39632 79264 158528 250177 317056 500354 634112 1000708 2001416 4002832 8005664 16011328 32022656 64045312